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Finding the Fourth Proportional to 227.65, 313.79 and 178.44

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Solution

The fourth proportional to 227.65, 313.79 and 178.44 is: 245.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.65 : 313.79 = 178.44 : x
  2. Step 2: Convert to fraction form
    227.65/313.79 = 178.44/x
  3. Step 3: Cross multiply
    227.65x = 313.79 × 178.44
  4. Step 4: Simplify right side
    227.65x = 55,992.69
  5. Step 5: Solve for x
    x = 55,992.69/227.65
  6. Step 6: Final answer
    x = 245.96

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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.