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Finding the Fourth Proportional to 168.82, 232.50 and 127.24

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Solution

The fourth proportional to 168.82, 232.50 and 127.24 is: 175.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.82 : 232.50 = 127.24 : x
  2. Step 2: Convert to fraction form
    168.82/232.50 = 127.24/x
  3. Step 3: Cross multiply
    168.82x = 232.50 × 127.24
  4. Step 4: Simplify right side
    168.82x = 29,583.30
  5. Step 5: Solve for x
    x = 29,583.30/168.82
  6. Step 6: Final answer
    x = 175.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.