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Finding the Fourth Proportional to 241.60, 361.88 and 119.60

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Solution

The fourth proportional to 241.60, 361.88 and 119.60 is: 179.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.60 : 361.88 = 119.60 : x
  2. Step 2: Convert to fraction form
    241.60/361.88 = 119.60/x
  3. Step 3: Cross multiply
    241.60x = 361.88 × 119.60
  4. Step 4: Simplify right side
    241.60x = 43,281.43
  5. Step 5: Solve for x
    x = 43,281.43/241.60
  6. Step 6: Final answer
    x = 179.15

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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.