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Finding the Fourth Proportional to 217.28, 298.66 and 194.96

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Solution

The fourth proportional to 217.28, 298.66 and 194.96 is: 267.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.28 : 298.66 = 194.96 : x
  2. Step 2: Convert to fraction form
    217.28/298.66 = 194.96/x
  3. Step 3: Cross multiply
    217.28x = 298.66 × 194.96
  4. Step 4: Simplify right side
    217.28x = 58,226.75
  5. Step 5: Solve for x
    x = 58,226.75/217.28
  6. Step 6: Final answer
    x = 267.98

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.