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Finding the Fourth Proportional to 195.81, 270.22 and 112.94

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Solution

The fourth proportional to 195.81, 270.22 and 112.94 is: 155.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.81 : 270.22 = 112.94 : x
  2. Step 2: Convert to fraction form
    195.81/270.22 = 112.94/x
  3. Step 3: Cross multiply
    195.81x = 270.22 × 112.94
  4. Step 4: Simplify right side
    195.81x = 30,518.08
  5. Step 5: Solve for x
    x = 30,518.08/195.81
  6. Step 6: Final answer
    x = 155.86

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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.