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Finding the Fourth Proportional to 224.16, 333.69 and 222.94

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Solution

The fourth proportional to 224.16, 333.69 and 222.94 is: 331.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.16 : 333.69 = 222.94 : x
  2. Step 2: Convert to fraction form
    224.16/333.69 = 222.94/x
  3. Step 3: Cross multiply
    224.16x = 333.69 × 222.94
  4. Step 4: Simplify right side
    224.16x = 74,392.85
  5. Step 5: Solve for x
    x = 74,392.85/224.16
  6. Step 6: Final answer
    x = 331.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.