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Finding the Fourth Proportional to 394.97, 592.31 and 163.85

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Solution

The fourth proportional to 394.97, 592.31 and 163.85 is: 245.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.97 : 592.31 = 163.85 : x
  2. Step 2: Convert to fraction form
    394.97/592.31 = 163.85/x
  3. Step 3: Cross multiply
    394.97x = 592.31 × 163.85
  4. Step 4: Simplify right side
    394.97x = 97,047.44
  5. Step 5: Solve for x
    x = 97,047.44/394.97
  6. Step 6: Final answer
    x = 245.71

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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.