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Finding the Fourth Proportional to 381.99, 573.09 and 189.48

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Solution

The fourth proportional to 381.99, 573.09 and 189.48 is: 284.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.99 : 573.09 = 189.48 : x
  2. Step 2: Convert to fraction form
    381.99/573.09 = 189.48/x
  3. Step 3: Cross multiply
    381.99x = 573.09 × 189.48
  4. Step 4: Simplify right side
    381.99x = 108,589.09
  5. Step 5: Solve for x
    x = 108,589.09/381.99
  6. Step 6: Final answer
    x = 284.27

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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.