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Finding the Fourth Proportional to 185.78, 278.63 and 77.54

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Solution

The fourth proportional to 185.78, 278.63 and 77.54 is: 116.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.78 : 278.63 = 77.54 : x
  2. Step 2: Convert to fraction form
    185.78/278.63 = 77.54/x
  3. Step 3: Cross multiply
    185.78x = 278.63 × 77.54
  4. Step 4: Simplify right side
    185.78x = 21,604.97
  5. Step 5: Solve for x
    x = 21,604.97/185.78
  6. Step 6: Final answer
    x = 116.29

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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.