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Finding the Fourth Proportional to 240.24, 331.41 and 141.93

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Solution

The fourth proportional to 240.24, 331.41 and 141.93 is: 195.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.24 : 331.41 = 141.93 : x
  2. Step 2: Convert to fraction form
    240.24/331.41 = 141.93/x
  3. Step 3: Cross multiply
    240.24x = 331.41 × 141.93
  4. Step 4: Simplify right side
    240.24x = 47,037.02
  5. Step 5: Solve for x
    x = 47,037.02/240.24
  6. Step 6: Final answer
    x = 195.79

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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.