That is the correct booster for:
81/83 F250 - - 2/W/D, 4/W/D and dual piston,w/booster-8500 GVW and over.
If that describes your truck then it would fit.
But boosters usually go bad because the get brake fluid in them due to the master cylinder leaking. So make sure the master cylinder isn't leaking before you replace the booster. You can do that by pulling the two nuts holding the M/C to the booster and moving it forward to allow you to inspect the interface for brake fluid.
Gary, AKA "Gary fellow":
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Dad's: '81 F150 Ranger XLT 4x4: Down for restomod: Full-roller "stroked 351M" w/Trick Flow heads & intake, EEC-V SEFI/E4OD/3.50 gears w/Kevlar clutches
Blue: 2015 F150 Platinum 4x4 SuperCrew wearing Blue Jeans & sporting a 3.5L EB & Max Tow
Big Blue: 1985 F250HD 4x4: 460/ZF5/3.55's, D60 w/Ox locker & 10.25 Sterling/Trutrac, Blue Top & Borgeson, & EEC-V MAF/SEFI