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Finding the Fourth Proportional to 164.66, 227.41 and 109.63

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Solution

The fourth proportional to 164.66, 227.41 and 109.63 is: 151.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.66 : 227.41 = 109.63 : x
  2. Step 2: Convert to fraction form
    164.66/227.41 = 109.63/x
  3. Step 3: Cross multiply
    164.66x = 227.41 × 109.63
  4. Step 4: Simplify right side
    164.66x = 24,930.33
  5. Step 5: Solve for x
    x = 24,930.33/164.66
  6. Step 6: Final answer
    x = 151.41

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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.