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Finding the Fourth Proportional to 240.28, 331.60 and 142.08

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Solution

The fourth proportional to 240.28, 331.60 and 142.08 is: 196.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.28 : 331.60 = 142.08 : x
  2. Step 2: Convert to fraction form
    240.28/331.60 = 142.08/x
  3. Step 3: Cross multiply
    240.28x = 331.60 × 142.08
  4. Step 4: Simplify right side
    240.28x = 47,113.73
  5. Step 5: Solve for x
    x = 47,113.73/240.28
  6. Step 6: Final answer
    x = 196.08

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