This requires Boyle's Law which shows an inversely proportional relationship between volume and pressure.
(P1)(V1) =(P2)(V2)
P1 = 550 mm Hg
V1 = 200 mL
P2 = ?
V2 = 750 mm Hg
(550 mm Hg) (200 mL ) = (750 mm Hg) (V2)
V2 = 147 mL
This answer makes sense because the pressure decreased, which means the volume must have decreased.