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Finding the Fourth Proportional to 425.20, 637.42 and 165.38

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Solution

The fourth proportional to 425.20, 637.42 and 165.38 is: 247.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.20 : 637.42 = 165.38 : x
  2. Step 2: Convert to fraction form
    425.20/637.42 = 165.38/x
  3. Step 3: Cross multiply
    425.20x = 637.42 × 165.38
  4. Step 4: Simplify right side
    425.20x = 105,416.52
  5. Step 5: Solve for x
    x = 105,416.52/425.20
  6. Step 6: Final answer
    x = 247.92

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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.