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Finding the Fourth Proportional to 240.89, 361.37 and 172.29

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Solution

The fourth proportional to 240.89, 361.37 and 172.29 is: 258.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.89 : 361.37 = 172.29 : x
  2. Step 2: Convert to fraction form
    240.89/361.37 = 172.29/x
  3. Step 3: Cross multiply
    240.89x = 361.37 × 172.29
  4. Step 4: Simplify right side
    240.89x = 62,260.44
  5. Step 5: Solve for x
    x = 62,260.44/240.89
  6. Step 6: Final answer
    x = 258.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.