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Finding the Fourth Proportional to 618.28, 927.38 and 185.40

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Solution

The fourth proportional to 618.28, 927.38 and 185.40 is: 278.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.28 : 927.38 = 185.40 : x
  2. Step 2: Convert to fraction form
    618.28/927.38 = 185.40/x
  3. Step 3: Cross multiply
    618.28x = 927.38 × 185.40
  4. Step 4: Simplify right side
    618.28x = 171,936.25
  5. Step 5: Solve for x
    x = 171,936.25/618.28
  6. Step 6: Final answer
    x = 278.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.