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Finding the Fourth Proportional to 352.34, 527.70 and 169.86

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Solution

The fourth proportional to 352.34, 527.70 and 169.86 is: 254.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.34 : 527.70 = 169.86 : x
  2. Step 2: Convert to fraction form
    352.34/527.70 = 169.86/x
  3. Step 3: Cross multiply
    352.34x = 527.70 × 169.86
  4. Step 4: Simplify right side
    352.34x = 89,635.12
  5. Step 5: Solve for x
    x = 89,635.12/352.34
  6. Step 6: Final answer
    x = 254.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.