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Finding the Fourth Proportional to 167.43, 231.21 and 146.97

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Solution

The fourth proportional to 167.43, 231.21 and 146.97 is: 202.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.43 : 231.21 = 146.97 : x
  2. Step 2: Convert to fraction form
    167.43/231.21 = 146.97/x
  3. Step 3: Cross multiply
    167.43x = 231.21 × 146.97
  4. Step 4: Simplify right side
    167.43x = 33,980.93
  5. Step 5: Solve for x
    x = 33,980.93/167.43
  6. Step 6: Final answer
    x = 202.96

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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.