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Finding the Fourth Proportional to 226.28, 313.70 and 218.72

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Solution

The fourth proportional to 226.28, 313.70 and 218.72 is: 303.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.28 : 313.70 = 218.72 : x
  2. Step 2: Convert to fraction form
    226.28/313.70 = 218.72/x
  3. Step 3: Cross multiply
    226.28x = 313.70 × 218.72
  4. Step 4: Simplify right side
    226.28x = 68,612.15
  5. Step 5: Solve for x
    x = 68,612.15/226.28
  6. Step 6: Final answer
    x = 303.21

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.