A woven fabric containing an alternating pattern containing first weave zones and partial float weave zones. The woven fabric contains a plurality warp yarns arranged into groupings of warp yarns. In each first weave zone, the picks of weft yarns contain a repeating first weft pattern. In each partial float zone, the picks of weft yarns within the partial float weave zone contain a repeating second weft pattern of at least one monofilament yarn and at least one multiple-inserted multifilament yarn. Within the partial float zone, only a portion of the warp yarns within at least a portion of the warp groupings float over 3 weft yarns including floating over at least one multiple-inserted multifilament weft yarn in at least a portion of weft pattern repeats. An innerduct structure containing the woven fabric is also described.