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Finding the Fourth Proportional to 243.28, 334.09 and 208.31

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Solution

The fourth proportional to 243.28, 334.09 and 208.31 is: 286.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.28 : 334.09 = 208.31 : x
  2. Step 2: Convert to fraction form
    243.28/334.09 = 208.31/x
  3. Step 3: Cross multiply
    243.28x = 334.09 × 208.31
  4. Step 4: Simplify right side
    243.28x = 69,594.29
  5. Step 5: Solve for x
    x = 69,594.29/243.28
  6. Step 6: Final answer
    x = 286.07

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.