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Finding the Fourth Proportional to 425.70, 638 and 165.45

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Solution

The fourth proportional to 425.70, 638 and 165.45 is: 247.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.70 : 638 = 165.45 : x
  2. Step 2: Convert to fraction form
    425.70/638 = 165.45/x
  3. Step 3: Cross multiply
    425.70x = 638 × 165.45
  4. Step 4: Simplify right side
    425.70x = 105,557.10
  5. Step 5: Solve for x
    x = 105,557.10/425.70
  6. Step 6: Final answer
    x = 247.96

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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.