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Finding the Fourth Proportional to 226.34, 312.06 and 164.12

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Solution

The fourth proportional to 226.34, 312.06 and 164.12 is: 226.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.34 : 312.06 = 164.12 : x
  2. Step 2: Convert to fraction form
    226.34/312.06 = 164.12/x
  3. Step 3: Cross multiply
    226.34x = 312.06 × 164.12
  4. Step 4: Simplify right side
    226.34x = 51,215.29
  5. Step 5: Solve for x
    x = 51,215.29/226.34
  6. Step 6: Final answer
    x = 226.28

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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.