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Finding the Fourth Proportional to 195.95, 270.41 and 110.78

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Solution

The fourth proportional to 195.95, 270.41 and 110.78 is: 152.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.95 : 270.41 = 110.78 : x
  2. Step 2: Convert to fraction form
    195.95/270.41 = 110.78/x
  3. Step 3: Cross multiply
    195.95x = 270.41 × 110.78
  4. Step 4: Simplify right side
    195.95x = 29,954.11
  5. Step 5: Solve for x
    x = 29,954.11/195.95
  6. Step 6: Final answer
    x = 152.87

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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.