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Finding the Fourth Proportional to 367.43, 551.09 and 123.91

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Solution

The fourth proportional to 367.43, 551.09 and 123.91 is: 185.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.43 : 551.09 = 123.91 : x
  2. Step 2: Convert to fraction form
    367.43/551.09 = 123.91/x
  3. Step 3: Cross multiply
    367.43x = 551.09 × 123.91
  4. Step 4: Simplify right side
    367.43x = 68,284.49
  5. Step 5: Solve for x
    x = 68,284.49/367.43
  6. Step 6: Final answer
    x = 185.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.