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Finding the Fourth Proportional to 227.40, 313.90 and 164.42

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Solution

The fourth proportional to 227.40, 313.90 and 164.42 is: 226.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.40 : 313.90 = 164.42 : x
  2. Step 2: Convert to fraction form
    227.40/313.90 = 164.42/x
  3. Step 3: Cross multiply
    227.40x = 313.90 × 164.42
  4. Step 4: Simplify right side
    227.40x = 51,611.44
  5. Step 5: Solve for x
    x = 51,611.44/227.40
  6. Step 6: Final answer
    x = 226.96

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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.