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Finding the Fourth Proportional to 238.85, 329.77 and 140.64

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Solution

The fourth proportional to 238.85, 329.77 and 140.64 is: 194.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.85 : 329.77 = 140.64 : x
  2. Step 2: Convert to fraction form
    238.85/329.77 = 140.64/x
  3. Step 3: Cross multiply
    238.85x = 329.77 × 140.64
  4. Step 4: Simplify right side
    238.85x = 46,377.79
  5. Step 5: Solve for x
    x = 46,377.79/238.85
  6. Step 6: Final answer
    x = 194.17

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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.