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Finding the Fourth Proportional to 239.05, 329.93 and 140.82

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Solution

The fourth proportional to 239.05, 329.93 and 140.82 is: 194.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.05 : 329.93 = 140.82 : x
  2. Step 2: Convert to fraction form
    239.05/329.93 = 140.82/x
  3. Step 3: Cross multiply
    239.05x = 329.93 × 140.82
  4. Step 4: Simplify right side
    239.05x = 46,460.74
  5. Step 5: Solve for x
    x = 46,460.74/239.05
  6. Step 6: Final answer
    x = 194.36

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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.