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Finding the Fourth Proportional to 226.27, 312.08 and 167.24

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Solution

The fourth proportional to 226.27, 312.08 and 167.24 is: 230.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.27 : 312.08 = 167.24 : x
  2. Step 2: Convert to fraction form
    226.27/312.08 = 167.24/x
  3. Step 3: Cross multiply
    226.27x = 312.08 × 167.24
  4. Step 4: Simplify right side
    226.27x = 52,192.20
  5. Step 5: Solve for x
    x = 52,192.20/226.27
  6. Step 6: Final answer
    x = 230.67

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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.