By Lars Mucklejohn Insurer Direct Line has hiked consumer prices and boosted its gross written premium across its three main divisions as the firm tries to bolster investor confidence in its new turnaround strategy. On Wednesday, the FTSE 250 firm reported that its gross written premium and associated fees for ongoing operations rose 15 per cent to £706.8m from £614.8m during the first three months of 2024. The increase was helped by double-digit gross written premium growth across its home and commercial businesses, with the firm’s largest motor division enjoying an 18.3 per cent jump to £424…