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Finding the Fourth Proportional to 618.09, 927.15 and 185.25

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Solution

The fourth proportional to 618.09, 927.15 and 185.25 is: 277.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.09 : 927.15 = 185.25 : x
  2. Step 2: Convert to fraction form
    618.09/927.15 = 185.25/x
  3. Step 3: Cross multiply
    618.09x = 927.15 × 185.25
  4. Step 4: Simplify right side
    618.09x = 171,754.54
  5. Step 5: Solve for x
    x = 171,754.54/618.09
  6. Step 6: Final answer
    x = 277.88

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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.