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Finding the Fourth Proportional to 168.89, 254.64 and 154.31

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Solution

The fourth proportional to 168.89, 254.64 and 154.31 is: 232.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.89 : 254.64 = 154.31 : x
  2. Step 2: Convert to fraction form
    168.89/254.64 = 154.31/x
  3. Step 3: Cross multiply
    168.89x = 254.64 × 154.31
  4. Step 4: Simplify right side
    168.89x = 39,292.80
  5. Step 5: Solve for x
    x = 39,292.80/168.89
  6. Step 6: Final answer
    x = 232.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.