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Finding the Fourth Proportional to 618.66, 927.85 and 179.80

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Solution

The fourth proportional to 618.66, 927.85 and 179.80 is: 269.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.66 : 927.85 = 179.80 : x
  2. Step 2: Convert to fraction form
    618.66/927.85 = 179.80/x
  3. Step 3: Cross multiply
    618.66x = 927.85 × 179.80
  4. Step 4: Simplify right side
    618.66x = 166,824.66
  5. Step 5: Solve for x
    x = 166,824.66/618.66
  6. Step 6: Final answer
    x = 269.65

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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.