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Finding the Fourth Proportional to 144.92, 217.40 and 52.38

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Solution

The fourth proportional to 144.92, 217.40 and 52.38 is: 78.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.92 : 217.40 = 52.38 : x
  2. Step 2: Convert to fraction form
    144.92/217.40 = 52.38/x
  3. Step 3: Cross multiply
    144.92x = 217.40 × 52.38
  4. Step 4: Simplify right side
    144.92x = 11,387.41
  5. Step 5: Solve for x
    x = 11,387.41/144.92
  6. Step 6: Final answer
    x = 78.58

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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.