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Finding the Fourth Proportional to 303.21, 417.83 and 198.18

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Solution

The fourth proportional to 303.21, 417.83 and 198.18 is: 273.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.21 : 417.83 = 198.18 : x
  2. Step 2: Convert to fraction form
    303.21/417.83 = 198.18/x
  3. Step 3: Cross multiply
    303.21x = 417.83 × 198.18
  4. Step 4: Simplify right side
    303.21x = 82,804.56
  5. Step 5: Solve for x
    x = 82,804.56/303.21
  6. Step 6: Final answer
    x = 273.09

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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.