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Finding the Fourth Proportional to 243.82, 365.68 and 113.78

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Solution

The fourth proportional to 243.82, 365.68 and 113.78 is: 170.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.82 : 365.68 = 113.78 : x
  2. Step 2: Convert to fraction form
    243.82/365.68 = 113.78/x
  3. Step 3: Cross multiply
    243.82x = 365.68 × 113.78
  4. Step 4: Simplify right side
    243.82x = 41,607.07
  5. Step 5: Solve for x
    x = 41,607.07/243.82
  6. Step 6: Final answer
    x = 170.65

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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.