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Finding the Fourth Proportional to 226.64, 310.94 and 220.56

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Solution

The fourth proportional to 226.64, 310.94 and 220.56 is: 302.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.64 : 310.94 = 220.56 : x
  2. Step 2: Convert to fraction form
    226.64/310.94 = 220.56/x
  3. Step 3: Cross multiply
    226.64x = 310.94 × 220.56
  4. Step 4: Simplify right side
    226.64x = 68,580.93
  5. Step 5: Solve for x
    x = 68,580.93/226.64
  6. Step 6: Final answer
    x = 302.60

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.