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Finding the Fourth Proportional to 274.13, 411.24 and 165.82

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Solution

The fourth proportional to 274.13, 411.24 and 165.82 is: 248.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.13 : 411.24 = 165.82 : x
  2. Step 2: Convert to fraction form
    274.13/411.24 = 165.82/x
  3. Step 3: Cross multiply
    274.13x = 411.24 × 165.82
  4. Step 4: Simplify right side
    274.13x = 68,191.82
  5. Step 5: Solve for x
    x = 68,191.82/274.13
  6. Step 6: Final answer
    x = 248.76

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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.