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Finding the Fourth Proportional to 241.46, 361.47 and 149.86

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Solution

The fourth proportional to 241.46, 361.47 and 149.86 is: 224.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.46 : 361.47 = 149.86 : x
  2. Step 2: Convert to fraction form
    241.46/361.47 = 149.86/x
  3. Step 3: Cross multiply
    241.46x = 361.47 × 149.86
  4. Step 4: Simplify right side
    241.46x = 54,169.89
  5. Step 5: Solve for x
    x = 54,169.89/241.46
  6. Step 6: Final answer
    x = 224.34

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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.