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Finding the Fourth Proportional to 185.78, 278.60 and 76.04

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Solution

The fourth proportional to 185.78, 278.60 and 76.04 is: 114.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.78 : 278.60 = 76.04 : x
  2. Step 2: Convert to fraction form
    185.78/278.60 = 76.04/x
  3. Step 3: Cross multiply
    185.78x = 278.60 × 76.04
  4. Step 4: Simplify right side
    185.78x = 21,182.97
  5. Step 5: Solve for x
    x = 21,182.97/185.78
  6. Step 6: Final answer
    x = 114.02

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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.