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Finding the Fourth Proportional to 217.44, 299.34 and 178.56

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Solution

The fourth proportional to 217.44, 299.34 and 178.56 is: 245.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.44 : 299.34 = 178.56 : x
  2. Step 2: Convert to fraction form
    217.44/299.34 = 178.56/x
  3. Step 3: Cross multiply
    217.44x = 299.34 × 178.56
  4. Step 4: Simplify right side
    217.44x = 53,450.15
  5. Step 5: Solve for x
    x = 53,450.15/217.44
  6. Step 6: Final answer
    x = 245.82

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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.