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Finding the Fourth Proportional to 307.92, 462.16 and 163.92

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Solution

The fourth proportional to 307.92, 462.16 and 163.92 is: 246.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.92 : 462.16 = 163.92 : x
  2. Step 2: Convert to fraction form
    307.92/462.16 = 163.92/x
  3. Step 3: Cross multiply
    307.92x = 462.16 × 163.92
  4. Step 4: Simplify right side
    307.92x = 75,757.27
  5. Step 5: Solve for x
    x = 75,757.27/307.92
  6. Step 6: Final answer
    x = 246.03

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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.