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Finding the Fourth Proportional to 381.07, 571.23 and 195.97

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Solution

The fourth proportional to 381.07, 571.23 and 195.97 is: 293.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.07 : 571.23 = 195.97 : x
  2. Step 2: Convert to fraction form
    381.07/571.23 = 195.97/x
  3. Step 3: Cross multiply
    381.07x = 571.23 × 195.97
  4. Step 4: Simplify right side
    381.07x = 111,940.11
  5. Step 5: Solve for x
    x = 111,940.11/381.07
  6. Step 6: Final answer
    x = 293.76

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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.