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Finding the Fourth Proportional to 274.22, 411.49 and 120.17

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Solution

The fourth proportional to 274.22, 411.49 and 120.17 is: 180.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.22 : 411.49 = 120.17 : x
  2. Step 2: Convert to fraction form
    274.22/411.49 = 120.17/x
  3. Step 3: Cross multiply
    274.22x = 411.49 × 120.17
  4. Step 4: Simplify right side
    274.22x = 49,446.10
  5. Step 5: Solve for x
    x = 49,446.10/274.22
  6. Step 6: Final answer
    x = 180.32

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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.