A sheet of insulating material, with thermal conductivity of $0\mathrm{.}22$ W$/$m K$,$ is $2$ cm thick and has a surface area of $2\mathrm{.}97$ m$?.$

If $4$ kW of heat are conducted through this sheet and the outer $($cooler$)$ surface temperature is measured at $55$ C $(328$ K$),$ what will be the temperature on the inner $($hot$)$ surface?