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Finding the Fourth Proportional to 227.82, 341.38 and 212.61

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Solution

The fourth proportional to 227.82, 341.38 and 212.61 is: 318.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.82 : 341.38 = 212.61 : x
  2. Step 2: Convert to fraction form
    227.82/341.38 = 212.61/x
  3. Step 3: Cross multiply
    227.82x = 341.38 × 212.61
  4. Step 4: Simplify right side
    227.82x = 72,580.80
  5. Step 5: Solve for x
    x = 72,580.80/227.82
  6. Step 6: Final answer
    x = 318.59

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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.