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Finding the Fourth Proportional to 252.70, 379.17 and 144.52

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Solution

The fourth proportional to 252.70, 379.17 and 144.52 is: 216.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.70 : 379.17 = 144.52 : x
  2. Step 2: Convert to fraction form
    252.70/379.17 = 144.52/x
  3. Step 3: Cross multiply
    252.70x = 379.17 × 144.52
  4. Step 4: Simplify right side
    252.70x = 54,797.65
  5. Step 5: Solve for x
    x = 54,797.65/252.70
  6. Step 6: Final answer
    x = 216.85

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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.