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Finding the Fourth Proportional to 189.54, 260.96 and 164.97

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Solution

The fourth proportional to 189.54, 260.96 and 164.97 is: 227.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.54 : 260.96 = 164.97 : x
  2. Step 2: Convert to fraction form
    189.54/260.96 = 164.97/x
  3. Step 3: Cross multiply
    189.54x = 260.96 × 164.97
  4. Step 4: Simplify right side
    189.54x = 43,050.57
  5. Step 5: Solve for x
    x = 43,050.57/189.54
  6. Step 6: Final answer
    x = 227.13

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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.