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Finding the Fourth Proportional to 189.05, 260.75 and 164.43

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Solution

The fourth proportional to 189.05, 260.75 and 164.43 is: 226.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.05 : 260.75 = 164.43 : x
  2. Step 2: Convert to fraction form
    189.05/260.75 = 164.43/x
  3. Step 3: Cross multiply
    189.05x = 260.75 × 164.43
  4. Step 4: Simplify right side
    189.05x = 42,874.30
  5. Step 5: Solve for x
    x = 42,874.30/189.05
  6. Step 6: Final answer
    x = 226.79

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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.