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Finding the Fourth Proportional to 195.82, 293.76 and 113.54

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Solution

The fourth proportional to 195.82, 293.76 and 113.54 is: 170.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.82 : 293.76 = 113.54 : x
  2. Step 2: Convert to fraction form
    195.82/293.76 = 113.54/x
  3. Step 3: Cross multiply
    195.82x = 293.76 × 113.54
  4. Step 4: Simplify right side
    195.82x = 33,352.04
  5. Step 5: Solve for x
    x = 33,352.04/195.82
  6. Step 6: Final answer
    x = 170.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.