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Finding the Fourth Proportional to 164.73, 227.28 and 106.50

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Solution

The fourth proportional to 164.73, 227.28 and 106.50 is: 146.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.73 : 227.28 = 106.50 : x
  2. Step 2: Convert to fraction form
    164.73/227.28 = 106.50/x
  3. Step 3: Cross multiply
    164.73x = 227.28 × 106.50
  4. Step 4: Simplify right side
    164.73x = 24,205.32
  5. Step 5: Solve for x
    x = 24,205.32/164.73
  6. Step 6: Final answer
    x = 146.94

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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.