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Finding the Fourth Proportional to 226.63, 312.64 and 161.17

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Solution

The fourth proportional to 226.63, 312.64 and 161.17 is: 222.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.63 : 312.64 = 161.17 : x
  2. Step 2: Convert to fraction form
    226.63/312.64 = 161.17/x
  3. Step 3: Cross multiply
    226.63x = 312.64 × 161.17
  4. Step 4: Simplify right side
    226.63x = 50,388.19
  5. Step 5: Solve for x
    x = 50,388.19/226.63
  6. Step 6: Final answer
    x = 222.34

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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.