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Finding the Fourth Proportional to 425.34, 638.10 and 147.69

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Solution

The fourth proportional to 425.34, 638.10 and 147.69 is: 221.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.34 : 638.10 = 147.69 : x
  2. Step 2: Convert to fraction form
    425.34/638.10 = 147.69/x
  3. Step 3: Cross multiply
    425.34x = 638.10 × 147.69
  4. Step 4: Simplify right side
    425.34x = 94,240.99
  5. Step 5: Solve for x
    x = 94,240.99/425.34
  6. Step 6: Final answer
    x = 221.57

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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.