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Finding the Fourth Proportional to 164.95, 227.05 and 120.62

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Solution

The fourth proportional to 164.95, 227.05 and 120.62 is: 166.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.95 : 227.05 = 120.62 : x
  2. Step 2: Convert to fraction form
    164.95/227.05 = 120.62/x
  3. Step 3: Cross multiply
    164.95x = 227.05 × 120.62
  4. Step 4: Simplify right side
    164.95x = 27,385.33
  5. Step 5: Solve for x
    x = 27,385.33/164.95
  6. Step 6: Final answer
    x = 166.02

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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.