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Finding the Fourth Proportional to 274.78, 412.13 and 82.38

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Solution

The fourth proportional to 274.78, 412.13 and 82.38 is: 123.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.78 : 412.13 = 82.38 : x
  2. Step 2: Convert to fraction form
    274.78/412.13 = 82.38/x
  3. Step 3: Cross multiply
    274.78x = 412.13 × 82.38
  4. Step 4: Simplify right side
    274.78x = 33,951.27
  5. Step 5: Solve for x
    x = 33,951.27/274.78
  6. Step 6: Final answer
    x = 123.56

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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.