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Finding the Fourth Proportional to 241.41, 361.78 and 172.43

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Solution

The fourth proportional to 241.41, 361.78 and 172.43 is: 258.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.41 : 361.78 = 172.43 : x
  2. Step 2: Convert to fraction form
    241.41/361.78 = 172.43/x
  3. Step 3: Cross multiply
    241.41x = 361.78 × 172.43
  4. Step 4: Simplify right side
    241.41x = 62,381.73
  5. Step 5: Solve for x
    x = 62,381.73/241.41
  6. Step 6: Final answer
    x = 258.41

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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.