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Finding the Fourth Proportional to 222.75, 307.40 and 164.43

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Solution

The fourth proportional to 222.75, 307.40 and 164.43 is: 226.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.75 : 307.40 = 164.43 : x
  2. Step 2: Convert to fraction form
    222.75/307.40 = 164.43/x
  3. Step 3: Cross multiply
    222.75x = 307.40 × 164.43
  4. Step 4: Simplify right side
    222.75x = 50,544.96
  5. Step 5: Solve for x
    x = 50,544.96/222.75
  6. Step 6: Final answer
    x = 226.91

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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.