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Finding the Fourth Proportional to 239.00, 329.84 and 140.75

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Solution

The fourth proportional to 239.00, 329.84 and 140.75 is: 194.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.00 : 329.84 = 140.75 : x
  2. Step 2: Convert to fraction form
    239.00/329.84 = 140.75/x
  3. Step 3: Cross multiply
    239.00x = 329.84 × 140.75
  4. Step 4: Simplify right side
    239.00x = 46,425.33
  5. Step 5: Solve for x
    x = 46,425.33/239.00
  6. Step 6: Final answer
    x = 194.25

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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.