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Finding the Fourth Proportional to 367.24, 550.18 and 230.20

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Solution

The fourth proportional to 367.24, 550.18 and 230.20 is: 344.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.24 : 550.18 = 230.20 : x
  2. Step 2: Convert to fraction form
    367.24/550.18 = 230.20/x
  3. Step 3: Cross multiply
    367.24x = 550.18 × 230.20
  4. Step 4: Simplify right side
    367.24x = 126,651.44
  5. Step 5: Solve for x
    x = 126,651.44/367.24
  6. Step 6: Final answer
    x = 344.87

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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.