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Finding the Fourth Proportional to 241.22, 361.46 and 168.24

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Solution

The fourth proportional to 241.22, 361.46 and 168.24 is: 252.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.22 : 361.46 = 168.24 : x
  2. Step 2: Convert to fraction form
    241.22/361.46 = 168.24/x
  3. Step 3: Cross multiply
    241.22x = 361.46 × 168.24
  4. Step 4: Simplify right side
    241.22x = 60,812.03
  5. Step 5: Solve for x
    x = 60,812.03/241.22
  6. Step 6: Final answer
    x = 252.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.