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Finding the Fourth Proportional to 241.14, 361.40 and 172.29

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Solution

The fourth proportional to 241.14, 361.40 and 172.29 is: 258.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.14 : 361.40 = 172.29 : x
  2. Step 2: Convert to fraction form
    241.14/361.40 = 172.29/x
  3. Step 3: Cross multiply
    241.14x = 361.40 × 172.29
  4. Step 4: Simplify right side
    241.14x = 62,264.74
  5. Step 5: Solve for x
    x = 62,264.74/241.14
  6. Step 6: Final answer
    x = 258.21

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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.