A line between stations $P$ and $Q$ laid on a slope of $1$ in $5$ was measured as $350\; m$ using a $50\; m$ tape. The tape is known to be shortly by $0.1\; m$.

The corrected horizontal length (in $m$) of the line $\text{PQ}$ will be

1. $342.52$
2. $349.30$
3. $356.20$
4. $350.70$