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Finding the Fourth Proportional to 355.20, 532.96 and 135.84

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Solution

The fourth proportional to 355.20, 532.96 and 135.84 is: 203.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.20 : 532.96 = 135.84 : x
  2. Step 2: Convert to fraction form
    355.20/532.96 = 135.84/x
  3. Step 3: Cross multiply
    355.20x = 532.96 × 135.84
  4. Step 4: Simplify right side
    355.20x = 72,397.29
  5. Step 5: Solve for x
    x = 72,397.29/355.20
  6. Step 6: Final answer
    x = 203.82

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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.