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Finding the Fourth Proportional to 306.55, 422.31 and 208.18

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Solution

The fourth proportional to 306.55, 422.31 and 208.18 is: 286.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.55 : 422.31 = 208.18 : x
  2. Step 2: Convert to fraction form
    306.55/422.31 = 208.18/x
  3. Step 3: Cross multiply
    306.55x = 422.31 × 208.18
  4. Step 4: Simplify right side
    306.55x = 87,916.50
  5. Step 5: Solve for x
    x = 87,916.50/306.55
  6. Step 6: Final answer
    x = 286.79

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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.