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Finding the Fourth Proportional to 175.73, 242.31 and 165.14

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Solution

The fourth proportional to 175.73, 242.31 and 165.14 is: 227.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.73 : 242.31 = 165.14 : x
  2. Step 2: Convert to fraction form
    175.73/242.31 = 165.14/x
  3. Step 3: Cross multiply
    175.73x = 242.31 × 165.14
  4. Step 4: Simplify right side
    175.73x = 40,013.86
  5. Step 5: Solve for x
    x = 40,013.86/175.73
  6. Step 6: Final answer
    x = 227.71

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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.