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Finding the Fourth Proportional to 238.98, 329.82 and 140.77

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Solution

The fourth proportional to 238.98, 329.82 and 140.77 is: 194.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.98 : 329.82 = 140.77 : x
  2. Step 2: Convert to fraction form
    238.98/329.82 = 140.77/x
  3. Step 3: Cross multiply
    238.98x = 329.82 × 140.77
  4. Step 4: Simplify right side
    238.98x = 46,427.11
  5. Step 5: Solve for x
    x = 46,427.11/238.98
  6. Step 6: Final answer
    x = 194.27

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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.