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Finding the Fourth Proportional to 562.24, 843.38 and 192.04

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Solution

The fourth proportional to 562.24, 843.38 and 192.04 is: 288.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.24 : 843.38 = 192.04 : x
  2. Step 2: Convert to fraction form
    562.24/843.38 = 192.04/x
  3. Step 3: Cross multiply
    562.24x = 843.38 × 192.04
  4. Step 4: Simplify right side
    562.24x = 161,960.35
  5. Step 5: Solve for x
    x = 161,960.35/562.24
  6. Step 6: Final answer
    x = 288.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.