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Finding the Fourth Proportional to 171.74, 237.30 and 167.96

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Solution

The fourth proportional to 171.74, 237.30 and 167.96 is: 232.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.74 : 237.30 = 167.96 : x
  2. Step 2: Convert to fraction form
    171.74/237.30 = 167.96/x
  3. Step 3: Cross multiply
    171.74x = 237.30 × 167.96
  4. Step 4: Simplify right side
    171.74x = 39,856.91
  5. Step 5: Solve for x
    x = 39,856.91/171.74
  6. Step 6: Final answer
    x = 232.08

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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.