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Finding the Fourth Proportional to 461.05, 691.14 and 168.48

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Solution

The fourth proportional to 461.05, 691.14 and 168.48 is: 252.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.05 : 691.14 = 168.48 : x
  2. Step 2: Convert to fraction form
    461.05/691.14 = 168.48/x
  3. Step 3: Cross multiply
    461.05x = 691.14 × 168.48
  4. Step 4: Simplify right side
    461.05x = 116,443.27
  5. Step 5: Solve for x
    x = 116,443.27/461.05
  6. Step 6: Final answer
    x = 252.56

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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.