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Finding the Fourth Proportional to 224.87, 338.74 and 222.03

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Solution

The fourth proportional to 224.87, 338.74 and 222.03 is: 334.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.87 : 338.74 = 222.03 : x
  2. Step 2: Convert to fraction form
    224.87/338.74 = 222.03/x
  3. Step 3: Cross multiply
    224.87x = 338.74 × 222.03
  4. Step 4: Simplify right side
    224.87x = 75,209.89
  5. Step 5: Solve for x
    x = 75,209.89/224.87
  6. Step 6: Final answer
    x = 334.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.