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Finding the Fourth Proportional to 618.14, 927.05 and 207.32

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Solution

The fourth proportional to 618.14, 927.05 and 207.32 is: 310.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.14 : 927.05 = 207.32 : x
  2. Step 2: Convert to fraction form
    618.14/927.05 = 207.32/x
  3. Step 3: Cross multiply
    618.14x = 927.05 × 207.32
  4. Step 4: Simplify right side
    618.14x = 192,190.33
  5. Step 5: Solve for x
    x = 192,190.33/618.14
  6. Step 6: Final answer
    x = 310.92

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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.