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Finding the Fourth Proportional to 240.42, 331.68 and 142.14

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Solution

The fourth proportional to 240.42, 331.68 and 142.14 is: 196.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.42 : 331.68 = 142.14 : x
  2. Step 2: Convert to fraction form
    240.42/331.68 = 142.14/x
  3. Step 3: Cross multiply
    240.42x = 331.68 × 142.14
  4. Step 4: Simplify right side
    240.42x = 47,145.00
  5. Step 5: Solve for x
    x = 47,145.00/240.42
  6. Step 6: Final answer
    x = 196.09

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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.