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Finding the Fourth Proportional to 618.38, 927.78 and 185.60

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Solution

The fourth proportional to 618.38, 927.78 and 185.60 is: 278.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.38 : 927.78 = 185.60 : x
  2. Step 2: Convert to fraction form
    618.38/927.78 = 185.60/x
  3. Step 3: Cross multiply
    618.38x = 927.78 × 185.60
  4. Step 4: Simplify right side
    618.38x = 172,195.97
  5. Step 5: Solve for x
    x = 172,195.97/618.38
  6. Step 6: Final answer
    x = 278.46

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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.