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Finding the Fourth Proportional to 243.11, 335.46 and 138.17

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Solution

The fourth proportional to 243.11, 335.46 and 138.17 is: 190.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.11 : 335.46 = 138.17 : x
  2. Step 2: Convert to fraction form
    243.11/335.46 = 138.17/x
  3. Step 3: Cross multiply
    243.11x = 335.46 × 138.17
  4. Step 4: Simplify right side
    243.11x = 46,351.35
  5. Step 5: Solve for x
    x = 46,351.35/243.11
  6. Step 6: Final answer
    x = 190.66

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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.