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Finding the Fourth Proportional to 224.39, 334.64 and 197.12

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Solution

The fourth proportional to 224.39, 334.64 and 197.12 is: 293.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.39 : 334.64 = 197.12 : x
  2. Step 2: Convert to fraction form
    224.39/334.64 = 197.12/x
  3. Step 3: Cross multiply
    224.39x = 334.64 × 197.12
  4. Step 4: Simplify right side
    224.39x = 65,964.24
  5. Step 5: Solve for x
    x = 65,964.24/224.39
  6. Step 6: Final answer
    x = 293.97

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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.