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Finding the Fourth Proportional to 164.78, 227.19 and 109.43

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Solution

The fourth proportional to 164.78, 227.19 and 109.43 is: 150.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.78 : 227.19 = 109.43 : x
  2. Step 2: Convert to fraction form
    164.78/227.19 = 109.43/x
  3. Step 3: Cross multiply
    164.78x = 227.19 × 109.43
  4. Step 4: Simplify right side
    164.78x = 24,861.40
  5. Step 5: Solve for x
    x = 24,861.40/164.78
  6. Step 6: Final answer
    x = 150.88

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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.