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Finding the Fourth Proportional to 168.83, 251.18 and 165.75

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Solution

The fourth proportional to 168.83, 251.18 and 165.75 is: 246.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.83 : 251.18 = 165.75 : x
  2. Step 2: Convert to fraction form
    168.83/251.18 = 165.75/x
  3. Step 3: Cross multiply
    168.83x = 251.18 × 165.75
  4. Step 4: Simplify right side
    168.83x = 41,633.09
  5. Step 5: Solve for x
    x = 41,633.09/168.83
  6. Step 6: Final answer
    x = 246.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.