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Finding the Fourth Proportional to 618.31, 927.47 and 162.31

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Solution

The fourth proportional to 618.31, 927.47 and 162.31 is: 243.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.31 : 927.47 = 162.31 : x
  2. Step 2: Convert to fraction form
    618.31/927.47 = 162.31/x
  3. Step 3: Cross multiply
    618.31x = 927.47 × 162.31
  4. Step 4: Simplify right side
    618.31x = 150,537.66
  5. Step 5: Solve for x
    x = 150,537.66/618.31
  6. Step 6: Final answer
    x = 243.47

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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.