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Finding the Fourth Proportional to 237.48, 326.91 and 195.96

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Solution

The fourth proportional to 237.48, 326.91 and 195.96 is: 269.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.48 : 326.91 = 195.96 : x
  2. Step 2: Convert to fraction form
    237.48/326.91 = 195.96/x
  3. Step 3: Cross multiply
    237.48x = 326.91 × 195.96
  4. Step 4: Simplify right side
    237.48x = 64,061.28
  5. Step 5: Solve for x
    x = 64,061.28/237.48
  6. Step 6: Final answer
    x = 269.75

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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.