A gas mixture contains $\mathrm{O}_2, \mathrm{~N}_2$, and Ar at partial pressures of 125,175 , and 225 mm Hg , respectively. If $\mathrm{CO}_2$ gas is added to the mixture until the total pressure reaches 623 mm Hg , what is the partial pressure, in millimeters of mercury, of $\mathrm{CO}_2$ ?