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Finding the Fourth Proportional to 239.09, 329.81 and 140.84

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Solution

The fourth proportional to 239.09, 329.81 and 140.84 is: 194.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.09 : 329.81 = 140.84 : x
  2. Step 2: Convert to fraction form
    239.09/329.81 = 140.84/x
  3. Step 3: Cross multiply
    239.09x = 329.81 × 140.84
  4. Step 4: Simplify right side
    239.09x = 46,449.32
  5. Step 5: Solve for x
    x = 46,449.32/239.09
  6. Step 6: Final answer
    x = 194.28

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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.