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Finding the Fourth Proportional to 227.86, 342.04 and 226.87

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Solution

The fourth proportional to 227.86, 342.04 and 226.87 is: 340.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.86 : 342.04 = 226.87 : x
  2. Step 2: Convert to fraction form
    227.86/342.04 = 226.87/x
  3. Step 3: Cross multiply
    227.86x = 342.04 × 226.87
  4. Step 4: Simplify right side
    227.86x = 77,596.90
  5. Step 5: Solve for x
    x = 77,596.90/227.86
  6. Step 6: Final answer
    x = 340.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.