A chemical plant exhaust has a sulfur dioxide ($SO_2$, molar mass $64.06 \text{ g/mol}$) concentration of $180 \text{ mg/m}^3$ at $25^\circ\text{C}$ and $1 \text{ atm}$. Find this concentration in parts per million by volume ($\text{ppmv}$), using the ideal gas molar volume of $24.46 \text{ L/mol}$ at this temperature and pressure.