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Finding the Fourth Proportional to 367.57, 551.16 and 123.91

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Solution

The fourth proportional to 367.57, 551.16 and 123.91 is: 185.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.57 : 551.16 = 123.91 : x
  2. Step 2: Convert to fraction form
    367.57/551.16 = 123.91/x
  3. Step 3: Cross multiply
    367.57x = 551.16 × 123.91
  4. Step 4: Simplify right side
    367.57x = 68,295.96
  5. Step 5: Solve for x
    x = 68,295.96/367.57
  6. Step 6: Final answer
    x = 185.81

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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.