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Finding the Fourth Proportional to 425.45, 638.27 and 165.46

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Solution

The fourth proportional to 425.45, 638.27 and 165.46 is: 248.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.45 : 638.27 = 165.46 : x
  2. Step 2: Convert to fraction form
    425.45/638.27 = 165.46/x
  3. Step 3: Cross multiply
    425.45x = 638.27 × 165.46
  4. Step 4: Simplify right side
    425.45x = 105,606.97
  5. Step 5: Solve for x
    x = 105,606.97/425.45
  6. Step 6: Final answer
    x = 248.22

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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.