The historical data for periods $1,2,3$ and $4$ are $138,142,148$ and $144$ respectively.$$ What is the three$-$period moving average forecast for period $5$ if weights are $0\mathrm{.}2,0\mathrm{.}3$ and $0\mathrm{.}5?$

Question $4$ options:

$1)$

$144\mathrm{.}20$

$2)$

$144\mathrm{.}80$

$3)$

$144\mathrm{.}67$

$4)$

$143\mathrm{.}00$

$5)$

$144\mathrm{.}00$