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Finding the Fourth Proportional to 352.12, 527.96 and 135.46

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Solution

The fourth proportional to 352.12, 527.96 and 135.46 is: 203.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.12 : 527.96 = 135.46 : x
  2. Step 2: Convert to fraction form
    352.12/527.96 = 135.46/x
  3. Step 3: Cross multiply
    352.12x = 527.96 × 135.46
  4. Step 4: Simplify right side
    352.12x = 71,517.46
  5. Step 5: Solve for x
    x = 71,517.46/352.12
  6. Step 6: Final answer
    x = 203.11

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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.