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Finding the Fourth Proportional to 167.09, 230.43 and 157.97

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Solution

The fourth proportional to 167.09, 230.43 and 157.97 is: 217.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.09 : 230.43 = 157.97 : x
  2. Step 2: Convert to fraction form
    167.09/230.43 = 157.97/x
  3. Step 3: Cross multiply
    167.09x = 230.43 × 157.97
  4. Step 4: Simplify right side
    167.09x = 36,399.87
  5. Step 5: Solve for x
    x = 36,399.87/167.09
  6. Step 6: Final answer
    x = 217.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.