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Finding the Fourth Proportional to 185.78, 278.72 and 88.28

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Solution

The fourth proportional to 185.78, 278.72 and 88.28 is: 132.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.78 : 278.72 = 88.28 : x
  2. Step 2: Convert to fraction form
    185.78/278.72 = 88.28/x
  3. Step 3: Cross multiply
    185.78x = 278.72 × 88.28
  4. Step 4: Simplify right side
    185.78x = 24,604.23
  5. Step 5: Solve for x
    x = 24,604.23/185.78
  6. Step 6: Final answer
    x = 132.44

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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.