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Finding the Fourth Proportional to 241.34, 361.38 and 132.86

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Solution

The fourth proportional to 241.34, 361.38 and 132.86 is: 198.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.34 : 361.38 = 132.86 : x
  2. Step 2: Convert to fraction form
    241.34/361.38 = 132.86/x
  3. Step 3: Cross multiply
    241.34x = 361.38 × 132.86
  4. Step 4: Simplify right side
    241.34x = 48,012.95
  5. Step 5: Solve for x
    x = 48,012.95/241.34
  6. Step 6: Final answer
    x = 198.94

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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.