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Finding the Fourth Proportional to 237.66, 327.70 and 167.73

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Solution

The fourth proportional to 237.66, 327.70 and 167.73 is: 231.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.66 : 327.70 = 167.73 : x
  2. Step 2: Convert to fraction form
    237.66/327.70 = 167.73/x
  3. Step 3: Cross multiply
    237.66x = 327.70 × 167.73
  4. Step 4: Simplify right side
    237.66x = 54,965.12
  5. Step 5: Solve for x
    x = 54,965.12/237.66
  6. Step 6: Final answer
    x = 231.28

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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.