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Finding the Fourth Proportional to 144.98, 217.38 and 112.02

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Solution

The fourth proportional to 144.98, 217.38 and 112.02 is: 167.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.98 : 217.38 = 112.02 : x
  2. Step 2: Convert to fraction form
    144.98/217.38 = 112.02/x
  3. Step 3: Cross multiply
    144.98x = 217.38 × 112.02
  4. Step 4: Simplify right side
    144.98x = 24,350.91
  5. Step 5: Solve for x
    x = 24,350.91/144.98
  6. Step 6: Final answer
    x = 167.97

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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.