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Finding the Fourth Proportional to 241.40, 361.96 and 87.24

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Solution

The fourth proportional to 241.40, 361.96 and 87.24 is: 130.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.40 : 361.96 = 87.24 : x
  2. Step 2: Convert to fraction form
    241.40/361.96 = 87.24/x
  3. Step 3: Cross multiply
    241.40x = 361.96 × 87.24
  4. Step 4: Simplify right side
    241.40x = 31,577.39
  5. Step 5: Solve for x
    x = 31,577.39/241.40
  6. Step 6: Final answer
    x = 130.81

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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.