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Finding the Fourth Proportional to 240.24, 331.64 and 141.96

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Solution

The fourth proportional to 240.24, 331.64 and 141.96 is: 195.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.24 : 331.64 = 141.96 : x
  2. Step 2: Convert to fraction form
    240.24/331.64 = 141.96/x
  3. Step 3: Cross multiply
    240.24x = 331.64 × 141.96
  4. Step 4: Simplify right side
    240.24x = 47,079.61
  5. Step 5: Solve for x
    x = 47,079.61/240.24
  6. Step 6: Final answer
    x = 195.97

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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.