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Finding the Fourth Proportional to 224.32, 334.88 and 222.04

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Solution

The fourth proportional to 224.32, 334.88 and 222.04 is: 331.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.32 : 334.88 = 222.04 : x
  2. Step 2: Convert to fraction form
    224.32/334.88 = 222.04/x
  3. Step 3: Cross multiply
    224.32x = 334.88 × 222.04
  4. Step 4: Simplify right side
    224.32x = 74,358.15
  5. Step 5: Solve for x
    x = 74,358.15/224.32
  6. Step 6: Final answer
    x = 331.48

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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.