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Finding the Fourth Proportional to 195.78, 270.16 and 116.05

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Solution

The fourth proportional to 195.78, 270.16 and 116.05 is: 160.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.78 : 270.16 = 116.05 : x
  2. Step 2: Convert to fraction form
    195.78/270.16 = 116.05/x
  3. Step 3: Cross multiply
    195.78x = 270.16 × 116.05
  4. Step 4: Simplify right side
    195.78x = 31,351.10
  5. Step 5: Solve for x
    x = 31,351.10/195.78
  6. Step 6: Final answer
    x = 160.13

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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.