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Finding the Fourth Proportional to 149.52, 224.16 and 142.80

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Solution

The fourth proportional to 149.52, 224.16 and 142.80 is: 214.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.52 : 224.16 = 142.80 : x
  2. Step 2: Convert to fraction form
    149.52/224.16 = 142.80/x
  3. Step 3: Cross multiply
    149.52x = 224.16 × 142.80
  4. Step 4: Simplify right side
    149.52x = 32,010.05
  5. Step 5: Solve for x
    x = 32,010.05/149.52
  6. Step 6: Final answer
    x = 214.09

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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.