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Finding the Fourth Proportional to 367.10, 550.70 and 123.56

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Solution

The fourth proportional to 367.10, 550.70 and 123.56 is: 185.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.10 : 550.70 = 123.56 : x
  2. Step 2: Convert to fraction form
    367.10/550.70 = 123.56/x
  3. Step 3: Cross multiply
    367.10x = 550.70 × 123.56
  4. Step 4: Simplify right side
    367.10x = 68,046.41
  5. Step 5: Solve for x
    x = 68,046.41/367.10
  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.