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Finding the Fourth Proportional to 381.11, 525.69 and 250.09

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Solution

The fourth proportional to 381.11, 525.69 and 250.09 is: 344.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.11 : 525.69 = 250.09 : x
  2. Step 2: Convert to fraction form
    381.11/525.69 = 250.09/x
  3. Step 3: Cross multiply
    381.11x = 525.69 × 250.09
  4. Step 4: Simplify right side
    381.11x = 131,468.50
  5. Step 5: Solve for x
    x = 131,468.50/381.11
  6. Step 6: Final answer
    x = 344.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.