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Finding the Fourth Proportional to 425.73, 638.24 and 165.67

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Solution

The fourth proportional to 425.73, 638.24 and 165.67 is: 248.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.73 : 638.24 = 165.67 : x
  2. Step 2: Convert to fraction form
    425.73/638.24 = 165.67/x
  3. Step 3: Cross multiply
    425.73x = 638.24 × 165.67
  4. Step 4: Simplify right side
    425.73x = 105,734.80
  5. Step 5: Solve for x
    x = 105,734.80/425.73
  6. Step 6: Final answer
    x = 248.36

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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.