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Finding the Fourth Proportional to 226.80, 312.90 and 167.64

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Solution

The fourth proportional to 226.80, 312.90 and 167.64 is: 231.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.80 : 312.90 = 167.64 : x
  2. Step 2: Convert to fraction form
    226.80/312.90 = 167.64/x
  3. Step 3: Cross multiply
    226.80x = 312.90 × 167.64
  4. Step 4: Simplify right side
    226.80x = 52,454.56
  5. Step 5: Solve for x
    x = 52,454.56/226.80
  6. Step 6: Final answer
    x = 231.28

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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.