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Finding the Fourth Proportional to 239.84, 331 and 141.59

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Solution

The fourth proportional to 239.84, 331 and 141.59 is: 195.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.84 : 331 = 141.59 : x
  2. Step 2: Convert to fraction form
    239.84/331 = 141.59/x
  3. Step 3: Cross multiply
    239.84x = 331 × 141.59
  4. Step 4: Simplify right side
    239.84x = 46,866.29
  5. Step 5: Solve for x
    x = 46,866.29/239.84
  6. Step 6: Final answer
    x = 195.41

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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.