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Finding the Fourth Proportional to 303.44, 418.92 and 200.24

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Solution

The fourth proportional to 303.44, 418.92 and 200.24 is: 276.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.44 : 418.92 = 200.24 : x
  2. Step 2: Convert to fraction form
    303.44/418.92 = 200.24/x
  3. Step 3: Cross multiply
    303.44x = 418.92 × 200.24
  4. Step 4: Simplify right side
    303.44x = 83,884.54
  5. Step 5: Solve for x
    x = 83,884.54/303.44
  6. Step 6: Final answer
    x = 276.45

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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.