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Finding the Fourth Proportional to 168, 233.43 and 166.41

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Solution

The fourth proportional to 168, 233.43 and 166.41 is: 231.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    168 : 233.43 = 166.41 : x
  2. Step 2: Convert to fraction form
    168/233.43 = 166.41/x
  3. Step 3: Cross multiply
    168x = 233.43 × 166.41
  4. Step 4: Simplify right side
    168x = 38,845.09
  5. Step 5: Solve for x
    x = 38,845.09/168
  6. Step 6: Final answer
    x = 231.22

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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.