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Finding the Fourth Proportional to 195.80, 270.20 and 108.46

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Solution

The fourth proportional to 195.80, 270.20 and 108.46 is: 149.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.80 : 270.20 = 108.46 : x
  2. Step 2: Convert to fraction form
    195.80/270.20 = 108.46/x
  3. Step 3: Cross multiply
    195.80x = 270.20 × 108.46
  4. Step 4: Simplify right side
    195.80x = 29,305.89
  5. Step 5: Solve for x
    x = 29,305.89/195.80
  6. Step 6: Final answer
    x = 149.67

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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.