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Finding the Fourth Proportional to 226.28, 312.05 and 198.63

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Solution

The fourth proportional to 226.28, 312.05 and 198.63 is: 273.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.28 : 312.05 = 198.63 : x
  2. Step 2: Convert to fraction form
    226.28/312.05 = 198.63/x
  3. Step 3: Cross multiply
    226.28x = 312.05 × 198.63
  4. Step 4: Simplify right side
    226.28x = 61,981.50
  5. Step 5: Solve for x
    x = 61,981.50/226.28
  6. Step 6: Final answer
    x = 273.92

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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.