Not to sound entirely too cliche, but if this is what you think is best for you, and you believe that you can contribute to the organization then you shouldn't feel awkward at all.
22 isn't that bad, but some people may judge you for it. Any Fraternity that refuses to give you a bid because you are older is not the Fraternity you want to be in.
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Chi Phi
Building Better Men Since 1824
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