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Finding the Fourth Proportional to 223.40, 308.00 and 164.33

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Solution

The fourth proportional to 223.40, 308.00 and 164.33 is: 226.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.40 : 308.00 = 164.33 : x
  2. Step 2: Convert to fraction form
    223.40/308.00 = 164.33/x
  3. Step 3: Cross multiply
    223.40x = 308.00 × 164.33
  4. Step 4: Simplify right side
    223.40x = 50,611.28
  5. Step 5: Solve for x
    x = 50,611.28/223.40
  6. Step 6: Final answer
    x = 226.56

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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.