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Finding the Fourth Proportional to 168.84, 234.54 and 166.86

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Solution

The fourth proportional to 168.84, 234.54 and 166.86 is: 231.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.84 : 234.54 = 166.86 : x
  2. Step 2: Convert to fraction form
    168.84/234.54 = 166.86/x
  3. Step 3: Cross multiply
    168.84x = 234.54 × 166.86
  4. Step 4: Simplify right side
    168.84x = 39,135.34
  5. Step 5: Solve for x
    x = 39,135.34/168.84
  6. Step 6: Final answer
    x = 231.79

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.