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Finding the Fourth Proportional to 167.98, 250.96 and 146.41

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Solution

The fourth proportional to 167.98, 250.96 and 146.41 is: 218.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.98 : 250.96 = 146.41 : x
  2. Step 2: Convert to fraction form
    167.98/250.96 = 146.41/x
  3. Step 3: Cross multiply
    167.98x = 250.96 × 146.41
  4. Step 4: Simplify right side
    167.98x = 36,743.05
  5. Step 5: Solve for x
    x = 36,743.05/167.98
  6. Step 6: Final answer
    x = 218.73

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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.