The calculated distance (air line) between Katav-Ivanovsk and Yekaterinburg is approximately 173 miles respectively 278 kilometers.
By car or train, the actual journey to Yekaterinburg is certainly longer, as only the direct route (as the crow flies) between Katav-Ivanovsk and Yekaterinburg has been calculated here.
Air line (approximately)
278 kilometers
150 nautical miles