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Finding the Fourth Proportional to 239.96, 331.80 and 209.21

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Solution

The fourth proportional to 239.96, 331.80 and 209.21 is: 289.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.96 : 331.80 = 209.21 : x
  2. Step 2: Convert to fraction form
    239.96/331.80 = 209.21/x
  3. Step 3: Cross multiply
    239.96x = 331.80 × 209.21
  4. Step 4: Simplify right side
    239.96x = 69,414.37
  5. Step 5: Solve for x
    x = 69,414.37/239.96
  6. Step 6: Final answer
    x = 289.27

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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.