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Finding the Fourth Proportional to 224.85, 310.55 and 222.12

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Solution

The fourth proportional to 224.85, 310.55 and 222.12 is: 306.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.85 : 310.55 = 222.12 : x
  2. Step 2: Convert to fraction form
    224.85/310.55 = 222.12/x
  3. Step 3: Cross multiply
    224.85x = 310.55 × 222.12
  4. Step 4: Simplify right side
    224.85x = 68,979.37
  5. Step 5: Solve for x
    x = 68,979.37/224.85
  6. Step 6: Final answer
    x = 306.78

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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.