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Finding the Fourth Proportional to 243.82, 365.44 and 141.17

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Solution

The fourth proportional to 243.82, 365.44 and 141.17 is: 211.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.82 : 365.44 = 141.17 : x
  2. Step 2: Convert to fraction form
    243.82/365.44 = 141.17/x
  3. Step 3: Cross multiply
    243.82x = 365.44 × 141.17
  4. Step 4: Simplify right side
    243.82x = 51,589.16
  5. Step 5: Solve for x
    x = 51,589.16/243.82
  6. Step 6: Final answer
    x = 211.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.