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Finding the Fourth Proportional to 241.96, 361.37 and 209.56

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Solution

The fourth proportional to 241.96, 361.37 and 209.56 is: 312.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.96 : 361.37 = 209.56 : x
  2. Step 2: Convert to fraction form
    241.96/361.37 = 209.56/x
  3. Step 3: Cross multiply
    241.96x = 361.37 × 209.56
  4. Step 4: Simplify right side
    241.96x = 75,728.70
  5. Step 5: Solve for x
    x = 75,728.70/241.96
  6. Step 6: Final answer
    x = 312.98

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.