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Finding the Fourth Proportional to 239.92, 331.07 and 141.64

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Solution

The fourth proportional to 239.92, 331.07 and 141.64 is: 195.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.92 : 331.07 = 141.64 : x
  2. Step 2: Convert to fraction form
    239.92/331.07 = 141.64/x
  3. Step 3: Cross multiply
    239.92x = 331.07 × 141.64
  4. Step 4: Simplify right side
    239.92x = 46,891.22
  5. Step 5: Solve for x
    x = 46,891.22/239.92
  6. Step 6: Final answer
    x = 195.45

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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.