An equilibrium mixture contains N$2$O$4,($P$=0\mathrm{.}28$ atm $)$ and NO$2($P$=1\mathrm{.}1$ atm $)$ at $350$ K $.$ The volume of the container is doubled at constant temperature. Calculate the equilibrium pressure of N$2$O$4$ when the system reaches a new equilibrium. Express your answer using two significant figures.