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Finding the Fourth Proportional to 195.99, 270.68 and 159.54

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Solution

The fourth proportional to 195.99, 270.68 and 159.54 is: 220.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.99 : 270.68 = 159.54 : x
  2. Step 2: Convert to fraction form
    195.99/270.68 = 159.54/x
  3. Step 3: Cross multiply
    195.99x = 270.68 × 159.54
  4. Step 4: Simplify right side
    195.99x = 43,183.49
  5. Step 5: Solve for x
    x = 43,183.49/195.99
  6. Step 6: Final answer
    x = 220.34

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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.