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Finding the Fourth Proportional to 195.81, 293.77 and 104.48

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Solution

The fourth proportional to 195.81, 293.77 and 104.48 is: 156.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.81 : 293.77 = 104.48 : x
  2. Step 2: Convert to fraction form
    195.81/293.77 = 104.48/x
  3. Step 3: Cross multiply
    195.81x = 293.77 × 104.48
  4. Step 4: Simplify right side
    195.81x = 30,694.21
  5. Step 5: Solve for x
    x = 30,694.21/195.81
  6. Step 6: Final answer
    x = 156.75

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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.