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Finding the Fourth Proportional to 274.17, 411.02 and 111.97

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Solution

The fourth proportional to 274.17, 411.02 and 111.97 is: 167.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.17 : 411.02 = 111.97 : x
  2. Step 2: Convert to fraction form
    274.17/411.02 = 111.97/x
  3. Step 3: Cross multiply
    274.17x = 411.02 × 111.97
  4. Step 4: Simplify right side
    274.17x = 46,019.29
  5. Step 5: Solve for x
    x = 46,019.29/274.17
  6. Step 6: Final answer
    x = 167.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.