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Finding the Fourth Proportional to 149.69, 224.42 and 142.38

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Solution

The fourth proportional to 149.69, 224.42 and 142.38 is: 213.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.69 : 224.42 = 142.38 : x
  2. Step 2: Convert to fraction form
    149.69/224.42 = 142.38/x
  3. Step 3: Cross multiply
    149.69x = 224.42 × 142.38
  4. Step 4: Simplify right side
    149.69x = 31,952.92
  5. Step 5: Solve for x
    x = 31,952.92/149.69
  6. Step 6: Final answer
    x = 213.46

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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.