Is every Banach space isometrically isomorphic to the dual of a normed space?

Question

I have the following question:

Given a Banach space $V$ over the field $\mathbb{K}$, is it true that there is always a normed space $W$ over the field $\mathbb{K}$, such that $V$ and $W'=\mathscr{L}(W,\mathbb{K})$ are isometrically isomorphic (with $\mathbb{K}\in \{\mathbb{R},\ \mathbb{C}\}$)?

Thanks for the help!