We investigate new realisations of the W-3 algebra with arbitrary cent
ral charge, making use of the fact that this algebra can be linearised
by the inclusion of a spin-1 current. We use the new realisations wit
h c = 102 and c = 100 to build non-critical and critical W-3 BRST oper
ators. Both of these can be converted by local canonical transformatio
ns into a BRST operator for the Virasoro string with c = 28 - 2, toget
her with a Kugo-Ojima topological term. Consequently, these realisatio
ns provide embeddings of the Virasoro string into non-critical and cri
tical W-3 strings.