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Finding the Fourth Proportional to 367.52, 550.40 and 204.80

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Solution

The fourth proportional to 367.52, 550.40 and 204.80 is: 306.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.52 : 550.40 = 204.80 : x
  2. Step 2: Convert to fraction form
    367.52/550.40 = 204.80/x
  3. Step 3: Cross multiply
    367.52x = 550.40 × 204.80
  4. Step 4: Simplify right side
    367.52x = 112,721.92
  5. Step 5: Solve for x
    x = 112,721.92/367.52
  6. Step 6: Final answer
    x = 306.71

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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.