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Finding the Fourth Proportional to 243.97, 367.61 and 201.59

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Solution

The fourth proportional to 243.97, 367.61 and 201.59 is: 303.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.97 : 367.61 = 201.59 : x
  2. Step 2: Convert to fraction form
    243.97/367.61 = 201.59/x
  3. Step 3: Cross multiply
    243.97x = 367.61 × 201.59
  4. Step 4: Simplify right side
    243.97x = 74,105.03
  5. Step 5: Solve for x
    x = 74,105.03/243.97
  6. Step 6: Final answer
    x = 303.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.