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Finding the Fourth Proportional to 242.90, 335.20 and 132.38

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Solution

The fourth proportional to 242.90, 335.20 and 132.38 is: 182.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.90 : 335.20 = 132.38 : x
  2. Step 2: Convert to fraction form
    242.90/335.20 = 132.38/x
  3. Step 3: Cross multiply
    242.90x = 335.20 × 132.38
  4. Step 4: Simplify right side
    242.90x = 44,373.27
  5. Step 5: Solve for x
    x = 44,373.27/242.90
  6. Step 6: Final answer
    x = 182.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.