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Finding the Fourth Proportional to 366.63, 550.17 and 161.20

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Solution

The fourth proportional to 366.63, 550.17 and 161.20 is: 241.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.63 : 550.17 = 161.20 : x
  2. Step 2: Convert to fraction form
    366.63/550.17 = 161.20/x
  3. Step 3: Cross multiply
    366.63x = 550.17 × 161.20
  4. Step 4: Simplify right side
    366.63x = 88,687.40
  5. Step 5: Solve for x
    x = 88,687.40/366.63
  6. Step 6: Final answer
    x = 241.90

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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.