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Finding the Fourth Proportional to 307.92, 461.52 and 163.38

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Solution

The fourth proportional to 307.92, 461.52 and 163.38 is: 244.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.92 : 461.52 = 163.38 : x
  2. Step 2: Convert to fraction form
    307.92/461.52 = 163.38/x
  3. Step 3: Cross multiply
    307.92x = 461.52 × 163.38
  4. Step 4: Simplify right side
    307.92x = 75,403.14
  5. Step 5: Solve for x
    x = 75,403.14/307.92
  6. Step 6: Final answer
    x = 244.88

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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.