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Finding the Fourth Proportional to 148.27, 204.61 and 82.78

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Solution

The fourth proportional to 148.27, 204.61 and 82.78 is: 114.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.27 : 204.61 = 82.78 : x
  2. Step 2: Convert to fraction form
    148.27/204.61 = 82.78/x
  3. Step 3: Cross multiply
    148.27x = 204.61 × 82.78
  4. Step 4: Simplify right side
    148.27x = 16,936.59
  5. Step 5: Solve for x
    x = 16,936.59/148.27
  6. Step 6: Final answer
    x = 114.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.