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Finding the Fourth Proportional to 195.75, 270.11 and 166.37

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Solution

The fourth proportional to 195.75, 270.11 and 166.37 is: 229.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.75 : 270.11 = 166.37 : x
  2. Step 2: Convert to fraction form
    195.75/270.11 = 166.37/x
  3. Step 3: Cross multiply
    195.75x = 270.11 × 166.37
  4. Step 4: Simplify right side
    195.75x = 44,936.02
  5. Step 5: Solve for x
    x = 44,936.02/195.75
  6. Step 6: Final answer
    x = 229.56

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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.