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Finding the Fourth Proportional to 241.19, 361.59 and 111.27

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Solution

The fourth proportional to 241.19, 361.59 and 111.27 is: 166.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.19 : 361.59 = 111.27 : x
  2. Step 2: Convert to fraction form
    241.19/361.59 = 111.27/x
  3. Step 3: Cross multiply
    241.19x = 361.59 × 111.27
  4. Step 4: Simplify right side
    241.19x = 40,234.12
  5. Step 5: Solve for x
    x = 40,234.12/241.19
  6. Step 6: Final answer
    x = 166.82

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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.