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Finding the Fourth Proportional to 241.07, 361.18 and 149.83

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Solution

The fourth proportional to 241.07, 361.18 and 149.83 is: 224.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.07 : 361.18 = 149.83 : x
  2. Step 2: Convert to fraction form
    241.07/361.18 = 149.83/x
  3. Step 3: Cross multiply
    241.07x = 361.18 × 149.83
  4. Step 4: Simplify right side
    241.07x = 54,114.32
  5. Step 5: Solve for x
    x = 54,114.32/241.07
  6. Step 6: Final answer
    x = 224.48

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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.