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Finding the Fourth Proportional to 222.22, 306.36 and 164.14

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Solution

The fourth proportional to 222.22, 306.36 and 164.14 is: 226.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.22 : 306.36 = 164.14 : x
  2. Step 2: Convert to fraction form
    222.22/306.36 = 164.14/x
  3. Step 3: Cross multiply
    222.22x = 306.36 × 164.14
  4. Step 4: Simplify right side
    222.22x = 50,285.93
  5. Step 5: Solve for x
    x = 50,285.93/222.22
  6. Step 6: Final answer
    x = 226.29

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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.