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Finding the Fourth Proportional to 189.28, 260.74 and 164.68

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Solution

The fourth proportional to 189.28, 260.74 and 164.68 is: 226.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.28 : 260.74 = 164.68 : x
  2. Step 2: Convert to fraction form
    189.28/260.74 = 164.68/x
  3. Step 3: Cross multiply
    189.28x = 260.74 × 164.68
  4. Step 4: Simplify right side
    189.28x = 42,936.54
  5. Step 5: Solve for x
    x = 42,936.54/189.28
  6. Step 6: Final answer
    x = 226.85

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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.