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Finding the Fourth Proportional to 227.37, 340.82 and 200.03

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Solution

The fourth proportional to 227.37, 340.82 and 200.03 is: 299.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.37 : 340.82 = 200.03 : x
  2. Step 2: Convert to fraction form
    227.37/340.82 = 200.03/x
  3. Step 3: Cross multiply
    227.37x = 340.82 × 200.03
  4. Step 4: Simplify right side
    227.37x = 68,175.58
  5. Step 5: Solve for x
    x = 68,175.58/227.37
  6. Step 6: Final answer
    x = 299.84

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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.