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Finding the Fourth Proportional to 226.40, 312.84 and 164.43

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Solution

The fourth proportional to 226.40, 312.84 and 164.43 is: 227.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.40 : 312.84 = 164.43 : x
  2. Step 2: Convert to fraction form
    226.40/312.84 = 164.43/x
  3. Step 3: Cross multiply
    226.40x = 312.84 × 164.43
  4. Step 4: Simplify right side
    226.40x = 51,440.28
  5. Step 5: Solve for x
    x = 51,440.28/226.40
  6. Step 6: Final answer
    x = 227.21

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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.