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Finding the Fourth Proportional to 367.53, 550.71 and 161.97

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Solution

The fourth proportional to 367.53, 550.71 and 161.97 is: 242.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.53 : 550.71 = 161.97 : x
  2. Step 2: Convert to fraction form
    367.53/550.71 = 161.97/x
  3. Step 3: Cross multiply
    367.53x = 550.71 × 161.97
  4. Step 4: Simplify right side
    367.53x = 89,198.50
  5. Step 5: Solve for x
    x = 89,198.50/367.53
  6. Step 6: Final answer
    x = 242.70

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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.