A block weighing $200$ N is placed on the incline as shown. The coefficient of friction between the block and the plane is $0\mathrm{.}30.$ Determine the value of the applied force passing through the centroid of the block, parallel to and up the incline, so that the block starts to slide.

$45\mathrm{.}15$ N

$83\mathrm{.}44$ N

$69\mathrm{.}46$ N

$93\mathrm{.}82$ N