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Finding the Fourth Proportional to 164.97, 227.73 and 109.69

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Solution

The fourth proportional to 164.97, 227.73 and 109.69 is: 151.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.97 : 227.73 = 109.69 : x
  2. Step 2: Convert to fraction form
    164.97/227.73 = 109.69/x
  3. Step 3: Cross multiply
    164.97x = 227.73 × 109.69
  4. Step 4: Simplify right side
    164.97x = 24,979.70
  5. Step 5: Solve for x
    x = 24,979.70/164.97
  6. Step 6: Final answer
    x = 151.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.