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Finding the Fourth Proportional to 242.56, 362.92 and 213.52

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Solution

The fourth proportional to 242.56, 362.92 and 213.52 is: 319.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.56 : 362.92 = 213.52 : x
  2. Step 2: Convert to fraction form
    242.56/362.92 = 213.52/x
  3. Step 3: Cross multiply
    242.56x = 362.92 × 213.52
  4. Step 4: Simplify right side
    242.56x = 77,490.68
  5. Step 5: Solve for x
    x = 77,490.68/242.56
  6. Step 6: Final answer
    x = 319.47

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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.