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Finding the Fourth Proportional to 312.41, 431.08 and 195.97

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Solution

The fourth proportional to 312.41, 431.08 and 195.97 is: 270.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.41 : 431.08 = 195.97 : x
  2. Step 2: Convert to fraction form
    312.41/431.08 = 195.97/x
  3. Step 3: Cross multiply
    312.41x = 431.08 × 195.97
  4. Step 4: Simplify right side
    312.41x = 84,478.75
  5. Step 5: Solve for x
    x = 84,478.75/312.41
  6. Step 6: Final answer
    x = 270.41

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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.