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Finding the Fourth Proportional to 185.27, 277.68 and 82.46

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Solution

The fourth proportional to 185.27, 277.68 and 82.46 is: 123.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.27 : 277.68 = 82.46 : x
  2. Step 2: Convert to fraction form
    185.27/277.68 = 82.46/x
  3. Step 3: Cross multiply
    185.27x = 277.68 × 82.46
  4. Step 4: Simplify right side
    185.27x = 22,896.10
  5. Step 5: Solve for x
    x = 22,896.10/185.27
  6. Step 6: Final answer
    x = 123.59

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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.