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Finding the Fourth Proportional to 185.76, 278.60 and 82.89

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Solution

The fourth proportional to 185.76, 278.60 and 82.89 is: 124.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.76 : 278.60 = 82.89 : x
  2. Step 2: Convert to fraction form
    185.76/278.60 = 82.89/x
  3. Step 3: Cross multiply
    185.76x = 278.60 × 82.89
  4. Step 4: Simplify right side
    185.76x = 23,092.74
  5. Step 5: Solve for x
    x = 23,092.74/185.76
  6. Step 6: Final answer
    x = 124.31

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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.