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Finding the Fourth Proportional to 367.22, 550.82 and 123.74

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Solution

The fourth proportional to 367.22, 550.82 and 123.74 is: 185.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.22 : 550.82 = 123.74 : x
  2. Step 2: Convert to fraction form
    367.22/550.82 = 123.74/x
  3. Step 3: Cross multiply
    367.22x = 550.82 × 123.74
  4. Step 4: Simplify right side
    367.22x = 68,156.02
  5. Step 5: Solve for x
    x = 68,156.02/367.22
  6. Step 6: Final answer
    x = 185.60

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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.