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Finding the Fourth Proportional to 195.94, 270.37 and 168.54

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Solution

The fourth proportional to 195.94, 270.37 and 168.54 is: 232.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.94 : 270.37 = 168.54 : x
  2. Step 2: Convert to fraction form
    195.94/270.37 = 168.54/x
  3. Step 3: Cross multiply
    195.94x = 270.37 × 168.54
  4. Step 4: Simplify right side
    195.94x = 45,568.16
  5. Step 5: Solve for x
    x = 45,568.16/195.94
  6. Step 6: Final answer
    x = 232.56

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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.