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Finding the Fourth Proportional to 425.32, 637.86 and 147.70

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Solution

The fourth proportional to 425.32, 637.86 and 147.70 is: 221.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.32 : 637.86 = 147.70 : x
  2. Step 2: Convert to fraction form
    425.32/637.86 = 147.70/x
  3. Step 3: Cross multiply
    425.32x = 637.86 × 147.70
  4. Step 4: Simplify right side
    425.32x = 94,211.92
  5. Step 5: Solve for x
    x = 94,211.92/425.32
  6. Step 6: Final answer
    x = 221.51

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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.