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Updating Average of most recent cells?

Hello! Quick question I've been stumped on. I have a sheet that tracks hours worked on different projects each month in a year. I want there to be a cell that displays the average of the most recent 3 months. Of course, I'd want this to update when a new month is entered. That value would be used along with the "hours allocated" value to determine the percent of the allocated hours worked.

In case context helps: we want to have each employee fill out this sheet with each of their projects. The manager would have a "master report" of sorts that displays the last two columns for each project ("Three Month Average Hours Worked" and "Percent Allocated Hours Worked").

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