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Finding the Fourth Proportional to 423.50, 635.36 and 149.62

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Solution

The fourth proportional to 423.50, 635.36 and 149.62 is: 224.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.50 : 635.36 = 149.62 : x
  2. Step 2: Convert to fraction form
    423.50/635.36 = 149.62/x
  3. Step 3: Cross multiply
    423.50x = 635.36 × 149.62
  4. Step 4: Simplify right side
    423.50x = 95,061.42
  5. Step 5: Solve for x
    x = 95,061.42/423.50
  6. Step 6: Final answer
    x = 224.47

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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.