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Finding the Fourth Proportional to 240.40, 331.61 and 142.14

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Solution

The fourth proportional to 240.40, 331.61 and 142.14 is: 196.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.40 : 331.61 = 142.14 : x
  2. Step 2: Convert to fraction form
    240.40/331.61 = 142.14/x
  3. Step 3: Cross multiply
    240.40x = 331.61 × 142.14
  4. Step 4: Simplify right side
    240.40x = 47,135.05
  5. Step 5: Solve for x
    x = 47,135.05/240.40
  6. Step 6: Final answer
    x = 196.07

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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.