Sidi 3 hole shoes

I have a pair of Sidi cycling shoes with 3 holes on the bottom in a triangle configuration. I want to use this pair of cleats to take spin classes and I need to have SPD cleats. The SPD’s do not fit. Do I have to buy a new pair of shoes or is there a way to make these work?

http://www.ebay.com/itm/New-Crank-Brothers-3-hole-cleat-adapter-set-Egg-Beater-Candy-/221088770766?pt=Cycling_Parts_Accessories&hash=item3379eaeace
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