horse shoe
Thanks for your post! The part you have here appears to be an exact match for the 15-180 Coil Balance Shoe. To determine if this is the right fit for your repairs, be sure to remove the shoe and carefully compare the dimensions shown on the diagram below.
This shoe is compatible with the Series 190 Coil Balance, secured to the shoe using the 33-073 screw. To determine the correct coils needed to complete your assembly, you'll need to look for any stamps/markings on the existing coils. If there aren't any, you'll need to obtain the exact weight of your sash and divide that by the total number of coils in the window.
I've tagged a few of the compatible hardware pieces and accessories below but be sure to take a look at the related hardware and accessories shown in the related items for the sure as well.