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Finding the Fourth Proportional to 144.85, 217.47 and 142.42

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Solution

The fourth proportional to 144.85, 217.47 and 142.42 is: 213.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.85 : 217.47 = 142.42 : x
  2. Step 2: Convert to fraction form
    144.85/217.47 = 142.42/x
  3. Step 3: Cross multiply
    144.85x = 217.47 × 142.42
  4. Step 4: Simplify right side
    144.85x = 30,972.08
  5. Step 5: Solve for x
    x = 30,972.08/144.85
  6. Step 6: Final answer
    x = 213.82

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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.