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Finding the Fourth Proportional to 195.98, 270.34 and 159.07

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Solution

The fourth proportional to 195.98, 270.34 and 159.07 is: 219.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.98 : 270.34 = 159.07 : x
  2. Step 2: Convert to fraction form
    195.98/270.34 = 159.07/x
  3. Step 3: Cross multiply
    195.98x = 270.34 × 159.07
  4. Step 4: Simplify right side
    195.98x = 43,003.38
  5. Step 5: Solve for x
    x = 43,003.38/195.98
  6. Step 6: Final answer
    x = 219.43

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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.