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Finding the Fourth Proportional to 195.75, 270.15 and 143.46

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Solution

The fourth proportional to 195.75, 270.15 and 143.46 is: 197.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.75 : 270.15 = 143.46 : x
  2. Step 2: Convert to fraction form
    195.75/270.15 = 143.46/x
  3. Step 3: Cross multiply
    195.75x = 270.15 × 143.46
  4. Step 4: Simplify right side
    195.75x = 38,755.72
  5. Step 5: Solve for x
    x = 38,755.72/195.75
  6. Step 6: Final answer
    x = 197.99

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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.