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Finding the Fourth Proportional to 251.97, 377.69 and 142.17

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Solution

The fourth proportional to 251.97, 377.69 and 142.17 is: 213.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.97 : 377.69 = 142.17 : x
  2. Step 2: Convert to fraction form
    251.97/377.69 = 142.17/x
  3. Step 3: Cross multiply
    251.97x = 377.69 × 142.17
  4. Step 4: Simplify right side
    251.97x = 53,695.48
  5. Step 5: Solve for x
    x = 53,695.48/251.97
  6. Step 6: Final answer
    x = 213.10

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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.