In a programming operation, selected storage elements on a selected word line are programmed while unselected storage elements on the selected word line are inhibited from programming by channel boosting. To provide a sufficient but not excessive level of boosting, the amount of boosting can be set based on a data state of the unselected storage element. A greater amount of boosting can be provided for a lower data state which represents a lower threshold voltage and hence is more vulnerable to program disturb. A common boosting scheme can be used for groups of multiple data states. The amount of boosting can be set by adjusting the timing and magnitude of voltages used for a channel pre-charge operation and for pass voltages which are applied to word lines. In one approach, stepped pass voltages on unselected word lines can be used to adjust boosting for channels with selected data states.