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Finding the Fourth Proportional to 306.57, 422.99 and 182.26

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Solution

The fourth proportional to 306.57, 422.99 and 182.26 is: 251.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.57 : 422.99 = 182.26 : x
  2. Step 2: Convert to fraction form
    306.57/422.99 = 182.26/x
  3. Step 3: Cross multiply
    306.57x = 422.99 × 182.26
  4. Step 4: Simplify right side
    306.57x = 77,091.13
  5. Step 5: Solve for x
    x = 77,091.13/306.57
  6. Step 6: Final answer
    x = 251.47

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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.