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Finding the Fourth Proportional to 381.99, 573.20 and 186.99

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Solution

The fourth proportional to 381.99, 573.20 and 186.99 is: 280.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.99 : 573.20 = 186.99 : x
  2. Step 2: Convert to fraction form
    381.99/573.20 = 186.99/x
  3. Step 3: Cross multiply
    381.99x = 573.20 × 186.99
  4. Step 4: Simplify right side
    381.99x = 107,182.67
  5. Step 5: Solve for x
    x = 107,182.67/381.99
  6. Step 6: Final answer
    x = 280.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.