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Finding the Fourth Proportional to 168, 251.97 and 65.29

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Solution

The fourth proportional to 168, 251.97 and 65.29 is: 97.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    168 : 251.97 = 65.29 : x
  2. Step 2: Convert to fraction form
    168/251.97 = 65.29/x
  3. Step 3: Cross multiply
    168x = 251.97 × 65.29
  4. Step 4: Simplify right side
    168x = 16,451.12
  5. Step 5: Solve for x
    x = 16,451.12/168
  6. Step 6: Final answer
    x = 97.92

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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.