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Finding the Fourth Proportional to 195.53, 293.42 and 73.82

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Solution

The fourth proportional to 195.53, 293.42 and 73.82 is: 110.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.53 : 293.42 = 73.82 : x
  2. Step 2: Convert to fraction form
    195.53/293.42 = 73.82/x
  3. Step 3: Cross multiply
    195.53x = 293.42 × 73.82
  4. Step 4: Simplify right side
    195.53x = 21,659.90
  5. Step 5: Solve for x
    x = 21,659.90/195.53
  6. Step 6: Final answer
    x = 110.78

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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.