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Finding the Fourth Proportional to 240.12, 331.14 and 161.43

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Solution

The fourth proportional to 240.12, 331.14 and 161.43 is: 222.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.12 : 331.14 = 161.43 : x
  2. Step 2: Convert to fraction form
    240.12/331.14 = 161.43/x
  3. Step 3: Cross multiply
    240.12x = 331.14 × 161.43
  4. Step 4: Simplify right side
    240.12x = 53,455.93
  5. Step 5: Solve for x
    x = 53,455.93/240.12
  6. Step 6: Final answer
    x = 222.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.