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Finding the Fourth Proportional to 167.22, 249.68 and 142.92

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Solution

The fourth proportional to 167.22, 249.68 and 142.92 is: 213.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.22 : 249.68 = 142.92 : x
  2. Step 2: Convert to fraction form
    167.22/249.68 = 142.92/x
  3. Step 3: Cross multiply
    167.22x = 249.68 × 142.92
  4. Step 4: Simplify right side
    167.22x = 35,684.27
  5. Step 5: Solve for x
    x = 35,684.27/167.22
  6. Step 6: Final answer
    x = 213.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.