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Finding the Fourth Proportional to 241.57, 361.84 and 150

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Solution

The fourth proportional to 241.57, 361.84 and 150 is: 224.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.57 : 361.84 = 150 : x
  2. Step 2: Convert to fraction form
    241.57/361.84 = 150/x
  3. Step 3: Cross multiply
    241.57x = 361.84 × 150
  4. Step 4: Simplify right side
    241.57x = 54,276.00
  5. Step 5: Solve for x
    x = 54,276.00/241.57
  6. Step 6: Final answer
    x = 224.68

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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.