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Finding the Fourth Proportional to 303.36, 418.41 and 198.28

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Solution

The fourth proportional to 303.36, 418.41 and 198.28 is: 273.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.36 : 418.41 = 198.28 : x
  2. Step 2: Convert to fraction form
    303.36/418.41 = 198.28/x
  3. Step 3: Cross multiply
    303.36x = 418.41 × 198.28
  4. Step 4: Simplify right side
    303.36x = 82,962.33
  5. Step 5: Solve for x
    x = 82,962.33/303.36
  6. Step 6: Final answer
    x = 273.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.