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Finding the Fourth Proportional to 634.13, 951.21 and 171.92

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Solution

The fourth proportional to 634.13, 951.21 and 171.92 is: 257.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.13 : 951.21 = 171.92 : x
  2. Step 2: Convert to fraction form
    634.13/951.21 = 171.92/x
  3. Step 3: Cross multiply
    634.13x = 951.21 × 171.92
  4. Step 4: Simplify right side
    634.13x = 163,527.27
  5. Step 5: Solve for x
    x = 163,527.27/634.13
  6. Step 6: Final answer
    x = 257.88

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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.