Consider the following time series data.

Year

Value

$1$

$234$

$2$

$287$

$3$

$255$

$4$

$310$

$5$

$298$

$6$

$250$

$7$

$302$

$8$

$267$

$9$

$225$

$10$

$333$

Use $\backslash$alpha $=0\mathrm{.}35$ to compute the exponential smoothing values for the time series. Compute the forecast for Year $11.$

$($Use year $1$ value for the forecast in year $2.$ Round your answer to the nearest whole number$)$