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Finding the Fourth Proportional to 238.41, 329.01 and 140.13

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Solution

The fourth proportional to 238.41, 329.01 and 140.13 is: 193.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.41 : 329.01 = 140.13 : x
  2. Step 2: Convert to fraction form
    238.41/329.01 = 140.13/x
  3. Step 3: Cross multiply
    238.41x = 329.01 × 140.13
  4. Step 4: Simplify right side
    238.41x = 46,104.17
  5. Step 5: Solve for x
    x = 46,104.17/238.41
  6. Step 6: Final answer
    x = 193.38

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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.