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Finding the Fourth Proportional to 195.75, 293.69 and 141.55

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Solution

The fourth proportional to 195.75, 293.69 and 141.55 is: 212.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.75 : 293.69 = 141.55 : x
  2. Step 2: Convert to fraction form
    195.75/293.69 = 141.55/x
  3. Step 3: Cross multiply
    195.75x = 293.69 × 141.55
  4. Step 4: Simplify right side
    195.75x = 41,571.44
  5. Step 5: Solve for x
    x = 41,571.44/195.75
  6. Step 6: Final answer
    x = 212.37

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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.