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Finding the Fourth Proportional to 381.20, 571.77 and 186.23

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Solution

The fourth proportional to 381.20, 571.77 and 186.23 is: 279.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.20 : 571.77 = 186.23 : x
  2. Step 2: Convert to fraction form
    381.20/571.77 = 186.23/x
  3. Step 3: Cross multiply
    381.20x = 571.77 × 186.23
  4. Step 4: Simplify right side
    381.20x = 106,480.73
  5. Step 5: Solve for x
    x = 106,480.73/381.20
  6. Step 6: Final answer
    x = 279.33

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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.