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Finding the Fourth Proportional to 381.14, 525.87 and 231.71

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Solution

The fourth proportional to 381.14, 525.87 and 231.71 is: 319.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.14 : 525.87 = 231.71 : x
  2. Step 2: Convert to fraction form
    381.14/525.87 = 231.71/x
  3. Step 3: Cross multiply
    381.14x = 525.87 × 231.71
  4. Step 4: Simplify right side
    381.14x = 121,846.71
  5. Step 5: Solve for x
    x = 121,846.71/381.14
  6. Step 6: Final answer
    x = 319.69

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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.