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Finding the Fourth Proportional to 354.58, 531.82 and 138.13

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Solution

The fourth proportional to 354.58, 531.82 and 138.13 is: 207.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.58 : 531.82 = 138.13 : x
  2. Step 2: Convert to fraction form
    354.58/531.82 = 138.13/x
  3. Step 3: Cross multiply
    354.58x = 531.82 × 138.13
  4. Step 4: Simplify right side
    354.58x = 73,456.95
  5. Step 5: Solve for x
    x = 73,456.95/354.58
  6. Step 6: Final answer
    x = 207.17

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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.