CACHE IS NOT AT POSTED COORDINATES!

Welcome to the final battle of the Homewood extensive extremities - pardon me, Xtensive Xtremities - series. Appropriately, this cache is located in the center of Homewood, at the centroid of all four extreme points.

"But what's a centroid?" - You, right now, probably.

Here's the Wikipedia page: https://en.wikipedia.org/wiki/Centroid

Basically, it's the average location of points in a plane. And, as such, this cache is located at the average of the other four caches in this series. Hope you remember your algebra.

There are two methods I recommend for finding the coordinates; here they are, with pros and cons.

Method 1:

Simply find the average of the coordinate points, which is harder than it sounds. Before you do any averaging, though, you need to convert the coordinates to decimal degrees. Without going too much into detail, there are two ways to write coordinates: degrees, minutes, and seconds (DMS), and decimal degrees (DD). In both notations, the Earth is broken into 360 degrees both latitudinally and longitudinally, both ranging between -180 and 180 and with 0 degrees marking the equator and prime meridian, respectively. The DMS system breaks each degree into 60 minutes (not related to time) and each minute into 60 seconds. The DD system merely breaks up degrees as if they were numbers. For example, 30 degrees, 30 minutes is equal to 30.5 decimal degrees. Geocaching uses decimal minutes, meaning it breaks degrees into minutes but stops short of breaking minutes into seconds.

If you do decide to use this method, please note that the coordinates you get will be a few feet off from the real cache location, at which point the hint will guide the way for you. If you are confused by any of the above, it's probably better for you to use

Method 2:

Compile the previous four caches of the series into a bookmark list, map the list, and print it out. Then, using a ruler, connect the Northernmost and Southernmost caches with a line, then do the same with the Easternmost and Westernmost. The point where the two lines intersect is roughly the location of the final cache. You can use to find the specific GZ, though it may take some fidgeting around in Google Earth to find exactly what I'm describing...

Though method 1 is more precise, if you are not a math whiz, it's probably better to use method 2.

Here are the other caches in the series: GC87NYB (west), GC87MM3 (east), GC881PC (north), GC87R5A (south).

Good luck; I hate to say it, but you'll probably need it. In the meantime, happy caching!

BYOP. Cheers, as always!