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Finding the Fourth Proportional to 366.92, 550.17 and 161.38

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Solution

The fourth proportional to 366.92, 550.17 and 161.38 is: 241.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.92 : 550.17 = 161.38 : x
  2. Step 2: Convert to fraction form
    366.92/550.17 = 161.38/x
  3. Step 3: Cross multiply
    366.92x = 550.17 × 161.38
  4. Step 4: Simplify right side
    366.92x = 88,786.43
  5. Step 5: Solve for x
    x = 88,786.43/366.92
  6. Step 6: Final answer
    x = 241.98

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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.