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Finding the Fourth Proportional to 381.21, 571.67 and 195.94

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Solution

The fourth proportional to 381.21, 571.67 and 195.94 is: 293.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.21 : 571.67 = 195.94 : x
  2. Step 2: Convert to fraction form
    381.21/571.67 = 195.94/x
  3. Step 3: Cross multiply
    381.21x = 571.67 × 195.94
  4. Step 4: Simplify right side
    381.21x = 112,013.02
  5. Step 5: Solve for x
    x = 112,013.02/381.21
  6. Step 6: Final answer
    x = 293.84

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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.