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Finding the Fourth Proportional to 240.97, 361.41 and 150.25

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Solution

The fourth proportional to 240.97, 361.41 and 150.25 is: 225.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.97 : 361.41 = 150.25 : x
  2. Step 2: Convert to fraction form
    240.97/361.41 = 150.25/x
  3. Step 3: Cross multiply
    240.97x = 361.41 × 150.25
  4. Step 4: Simplify right side
    240.97x = 54,300.05
  5. Step 5: Solve for x
    x = 54,300.05/240.97
  6. Step 6: Final answer
    x = 225.34

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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.