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Finding the Fourth Proportional to 252.11, 377.87 and 142.16

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Solution

The fourth proportional to 252.11, 377.87 and 142.16 is: 213.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.11 : 377.87 = 142.16 : x
  2. Step 2: Convert to fraction form
    252.11/377.87 = 142.16/x
  3. Step 3: Cross multiply
    252.11x = 377.87 × 142.16
  4. Step 4: Simplify right side
    252.11x = 53,715.40
  5. Step 5: Solve for x
    x = 53,715.40/252.11
  6. Step 6: Final answer
    x = 213.06

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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.