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Finding the Fourth Proportional to 226.50, 312.33 and 167.22

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Solution

The fourth proportional to 226.50, 312.33 and 167.22 is: 230.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.50 : 312.33 = 167.22 : x
  2. Step 2: Convert to fraction form
    226.50/312.33 = 167.22/x
  3. Step 3: Cross multiply
    226.50x = 312.33 × 167.22
  4. Step 4: Simplify right side
    226.50x = 52,227.82
  5. Step 5: Solve for x
    x = 52,227.82/226.50
  6. Step 6: Final answer
    x = 230.59

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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.