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Finding the Fourth Proportional to 367.39, 551.67 and 205.30

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Solution

The fourth proportional to 367.39, 551.67 and 205.30 is: 308.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.39 : 551.67 = 205.30 : x
  2. Step 2: Convert to fraction form
    367.39/551.67 = 205.30/x
  3. Step 3: Cross multiply
    367.39x = 551.67 × 205.30
  4. Step 4: Simplify right side
    367.39x = 113,257.85
  5. Step 5: Solve for x
    x = 113,257.85/367.39
  6. Step 6: Final answer
    x = 308.28

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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.