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Finding the Fourth Proportional to 217.28, 300 and 178.72

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Solution

The fourth proportional to 217.28, 300 and 178.72 is: 246.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.28 : 300 = 178.72 : x
  2. Step 2: Convert to fraction form
    217.28/300 = 178.72/x
  3. Step 3: Cross multiply
    217.28x = 300 × 178.72
  4. Step 4: Simplify right side
    217.28x = 53,616
  5. Step 5: Solve for x
    x = 53,616/217.28
  6. Step 6: Final answer
    x = 246.76

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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.