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Finding the Fourth Proportional to 195.68, 270.07 and 112.79

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Solution

The fourth proportional to 195.68, 270.07 and 112.79 is: 155.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.68 : 270.07 = 112.79 : x
  2. Step 2: Convert to fraction form
    195.68/270.07 = 112.79/x
  3. Step 3: Cross multiply
    195.68x = 270.07 × 112.79
  4. Step 4: Simplify right side
    195.68x = 30,459.28
  5. Step 5: Solve for x
    x = 30,459.28/195.68
  6. Step 6: Final answer
    x = 155.66

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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.