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Finding the Fourth Proportional to 366.39, 550.17 and 204.30

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Solution

The fourth proportional to 366.39, 550.17 and 204.30 is: 306.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.39 : 550.17 = 204.30 : x
  2. Step 2: Convert to fraction form
    366.39/550.17 = 204.30/x
  3. Step 3: Cross multiply
    366.39x = 550.17 × 204.30
  4. Step 4: Simplify right side
    366.39x = 112,399.73
  5. Step 5: Solve for x
    x = 112,399.73/366.39
  6. Step 6: Final answer
    x = 306.78

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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.