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Finding the Fourth Proportional to 319.78, 441.22 and 195.43

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Solution

The fourth proportional to 319.78, 441.22 and 195.43 is: 269.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.78 : 441.22 = 195.43 : x
  2. Step 2: Convert to fraction form
    319.78/441.22 = 195.43/x
  3. Step 3: Cross multiply
    319.78x = 441.22 × 195.43
  4. Step 4: Simplify right side
    319.78x = 86,227.62
  5. Step 5: Solve for x
    x = 86,227.62/319.78
  6. Step 6: Final answer
    x = 269.65

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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.