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Finding the Fourth Proportional to 239.69, 330.81 and 140.14

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Solution

The fourth proportional to 239.69, 330.81 and 140.14 is: 193.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.69 : 330.81 = 140.14 : x
  2. Step 2: Convert to fraction form
    239.69/330.81 = 140.14/x
  3. Step 3: Cross multiply
    239.69x = 330.81 × 140.14
  4. Step 4: Simplify right side
    239.69x = 46,358.62
  5. Step 5: Solve for x
    x = 46,358.62/239.69
  6. Step 6: Final answer
    x = 193.41

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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.