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Finding the Fourth Proportional to 308.10, 461.34 and 163.52

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Solution

The fourth proportional to 308.10, 461.34 and 163.52 is: 244.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.10 : 461.34 = 163.52 : x
  2. Step 2: Convert to fraction form
    308.10/461.34 = 163.52/x
  3. Step 3: Cross multiply
    308.10x = 461.34 × 163.52
  4. Step 4: Simplify right side
    308.10x = 75,438.32
  5. Step 5: Solve for x
    x = 75,438.32/308.10
  6. Step 6: Final answer
    x = 244.85

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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.