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Finding the Fourth Proportional to 168.36, 251.71 and 142.97

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Solution

The fourth proportional to 168.36, 251.71 and 142.97 is: 213.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.36 : 251.71 = 142.97 : x
  2. Step 2: Convert to fraction form
    168.36/251.71 = 142.97/x
  3. Step 3: Cross multiply
    168.36x = 251.71 × 142.97
  4. Step 4: Simplify right side
    168.36x = 35,986.98
  5. Step 5: Solve for x
    x = 35,986.98/168.36
  6. Step 6: Final answer
    x = 213.75

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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.