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Finding the Fourth Proportional to 237.65, 327.38 and 167.57

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Solution

The fourth proportional to 237.65, 327.38 and 167.57 is: 230.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.65 : 327.38 = 167.57 : x
  2. Step 2: Convert to fraction form
    237.65/327.38 = 167.57/x
  3. Step 3: Cross multiply
    237.65x = 327.38 × 167.57
  4. Step 4: Simplify right side
    237.65x = 54,857.85
  5. Step 5: Solve for x
    x = 54,857.85/237.65
  6. Step 6: Final answer
    x = 230.83

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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.