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Finding the Fourth Proportional to 351.96, 527.88 and 169.24

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Solution

The fourth proportional to 351.96, 527.88 and 169.24 is: 253.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.96 : 527.88 = 169.24 : x
  2. Step 2: Convert to fraction form
    351.96/527.88 = 169.24/x
  3. Step 3: Cross multiply
    351.96x = 527.88 × 169.24
  4. Step 4: Simplify right side
    351.96x = 89,338.41
  5. Step 5: Solve for x
    x = 89,338.41/351.96
  6. Step 6: Final answer
    x = 253.83

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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.