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Finding the Fourth Proportional to 175.50, 243.31 and 165.78

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Solution

The fourth proportional to 175.50, 243.31 and 165.78 is: 229.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.50 : 243.31 = 165.78 : x
  2. Step 2: Convert to fraction form
    175.50/243.31 = 165.78/x
  3. Step 3: Cross multiply
    175.50x = 243.31 × 165.78
  4. Step 4: Simplify right side
    175.50x = 40,335.93
  5. Step 5: Solve for x
    x = 40,335.93/175.50
  6. Step 6: Final answer
    x = 229.83

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.