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Finding the Fourth Proportional to 239.80, 330.92 and 140.20

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Solution

The fourth proportional to 239.80, 330.92 and 140.20 is: 193.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.80 : 330.92 = 140.20 : x
  2. Step 2: Convert to fraction form
    239.80/330.92 = 140.20/x
  3. Step 3: Cross multiply
    239.80x = 330.92 × 140.20
  4. Step 4: Simplify right side
    239.80x = 46,394.98
  5. Step 5: Solve for x
    x = 46,394.98/239.80
  6. Step 6: Final answer
    x = 193.47

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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.