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Finding the Fourth Proportional to 168.11, 251.78 and 142.34

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Solution

The fourth proportional to 168.11, 251.78 and 142.34 is: 213.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.11 : 251.78 = 142.34 : x
  2. Step 2: Convert to fraction form
    168.11/251.78 = 142.34/x
  3. Step 3: Cross multiply
    168.11x = 251.78 × 142.34
  4. Step 4: Simplify right side
    168.11x = 35,836.39
  5. Step 5: Solve for x
    x = 35,836.39/168.11
  6. Step 6: Final answer
    x = 213.18

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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.