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Finding the Fourth Proportional to 618.79, 927.92 and 185.85

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Solution

The fourth proportional to 618.79, 927.92 and 185.85 is: 278.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.79 : 927.92 = 185.85 : x
  2. Step 2: Convert to fraction form
    618.79/927.92 = 185.85/x
  3. Step 3: Cross multiply
    618.79x = 927.92 × 185.85
  4. Step 4: Simplify right side
    618.79x = 172,453.93
  5. Step 5: Solve for x
    x = 172,453.93/618.79
  6. Step 6: Final answer
    x = 278.70

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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.