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Finding the Fourth Proportional to 195.80, 270.11 and 137.66

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Solution

The fourth proportional to 195.80, 270.11 and 137.66 is: 189.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.80 : 270.11 = 137.66 : x
  2. Step 2: Convert to fraction form
    195.80/270.11 = 137.66/x
  3. Step 3: Cross multiply
    195.80x = 270.11 × 137.66
  4. Step 4: Simplify right side
    195.80x = 37,182.34
  5. Step 5: Solve for x
    x = 37,182.34/195.80
  6. Step 6: Final answer
    x = 189.90

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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.