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Finding the Fourth Proportional to 367.05, 550.19 and 229.78

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Solution

The fourth proportional to 367.05, 550.19 and 229.78 is: 344.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.05 : 550.19 = 229.78 : x
  2. Step 2: Convert to fraction form
    367.05/550.19 = 229.78/x
  3. Step 3: Cross multiply
    367.05x = 550.19 × 229.78
  4. Step 4: Simplify right side
    367.05x = 126,422.66
  5. Step 5: Solve for x
    x = 126,422.66/367.05
  6. Step 6: Final answer
    x = 344.43

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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.