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Finding the Fourth Proportional to 226.72, 312.73 and 164.76

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Solution

The fourth proportional to 226.72, 312.73 and 164.76 is: 227.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.72 : 312.73 = 164.76 : x
  2. Step 2: Convert to fraction form
    226.72/312.73 = 164.76/x
  3. Step 3: Cross multiply
    226.72x = 312.73 × 164.76
  4. Step 4: Simplify right side
    226.72x = 51,525.39
  5. Step 5: Solve for x
    x = 51,525.39/226.72
  6. Step 6: Final answer
    x = 227.26

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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.