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Finding the Fourth Proportional to 149.81, 224.64 and 142.65

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Solution

The fourth proportional to 149.81, 224.64 and 142.65 is: 213.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.81 : 224.64 = 142.65 : x
  2. Step 2: Convert to fraction form
    149.81/224.64 = 142.65/x
  3. Step 3: Cross multiply
    149.81x = 224.64 × 142.65
  4. Step 4: Simplify right side
    149.81x = 32,044.90
  5. Step 5: Solve for x
    x = 32,044.90/149.81
  6. Step 6: Final answer
    x = 213.91

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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.