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Finding the Fourth Proportional to 367.14, 550.57 and 123.61

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Solution

The fourth proportional to 367.14, 550.57 and 123.61 is: 185.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.14 : 550.57 = 123.61 : x
  2. Step 2: Convert to fraction form
    367.14/550.57 = 123.61/x
  3. Step 3: Cross multiply
    367.14x = 550.57 × 123.61
  4. Step 4: Simplify right side
    367.14x = 68,052.59
  5. Step 5: Solve for x
    x = 68,052.59/367.14
  6. Step 6: Final answer
    x = 185.36

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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.