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Finding the Fourth Proportional to 243.36, 335.44 and 199.62

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Solution

The fourth proportional to 243.36, 335.44 and 199.62 is: 275.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.36 : 335.44 = 199.62 : x
  2. Step 2: Convert to fraction form
    243.36/335.44 = 199.62/x
  3. Step 3: Cross multiply
    243.36x = 335.44 × 199.62
  4. Step 4: Simplify right side
    243.36x = 66,960.53
  5. Step 5: Solve for x
    x = 66,960.53/243.36
  6. Step 6: Final answer
    x = 275.15

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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.