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Finding the Fourth Proportional to 306.14, 422.96 and 239.99

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Solution

The fourth proportional to 306.14, 422.96 and 239.99 is: 331.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.14 : 422.96 = 239.99 : x
  2. Step 2: Convert to fraction form
    306.14/422.96 = 239.99/x
  3. Step 3: Cross multiply
    306.14x = 422.96 × 239.99
  4. Step 4: Simplify right side
    306.14x = 101,502.86
  5. Step 5: Solve for x
    x = 101,502.86/306.14
  6. Step 6: Final answer
    x = 331.56

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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.