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Finding the Fourth Proportional to 274.14, 411.22 and 111.82

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Solution

The fourth proportional to 274.14, 411.22 and 111.82 is: 167.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.14 : 411.22 = 111.82 : x
  2. Step 2: Convert to fraction form
    274.14/411.22 = 111.82/x
  3. Step 3: Cross multiply
    274.14x = 411.22 × 111.82
  4. Step 4: Simplify right side
    274.14x = 45,982.62
  5. Step 5: Solve for x
    x = 45,982.62/274.14
  6. Step 6: Final answer
    x = 167.73

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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.