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Finding the Fourth Proportional to 217.44, 300.17 and 134.56

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Solution

The fourth proportional to 217.44, 300.17 and 134.56 is: 185.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.44 : 300.17 = 134.56 : x
  2. Step 2: Convert to fraction form
    217.44/300.17 = 134.56/x
  3. Step 3: Cross multiply
    217.44x = 300.17 × 134.56
  4. Step 4: Simplify right side
    217.44x = 40,390.88
  5. Step 5: Solve for x
    x = 40,390.88/217.44
  6. Step 6: Final answer
    x = 185.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.