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Finding the Fourth Proportional to 355.12, 532.89 and 138.70

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Solution

The fourth proportional to 355.12, 532.89 and 138.70 is: 208.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.12 : 532.89 = 138.70 : x
  2. Step 2: Convert to fraction form
    355.12/532.89 = 138.70/x
  3. Step 3: Cross multiply
    355.12x = 532.89 × 138.70
  4. Step 4: Simplify right side
    355.12x = 73,909.18
  5. Step 5: Solve for x
    x = 73,909.18/355.12
  6. Step 6: Final answer
    x = 208.13

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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.