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Finding the Fourth Proportional to 274.42, 411.56 and 82

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Solution

The fourth proportional to 274.42, 411.56 and 82 is: 122.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.42 : 411.56 = 82 : x
  2. Step 2: Convert to fraction form
    274.42/411.56 = 82/x
  3. Step 3: Cross multiply
    274.42x = 411.56 × 82
  4. Step 4: Simplify right side
    274.42x = 33,747.92
  5. Step 5: Solve for x
    x = 33,747.92/274.42
  6. Step 6: Final answer
    x = 122.98

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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.