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Finding the Fourth Proportional to 189.12, 260.78 and 164.49

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Solution

The fourth proportional to 189.12, 260.78 and 164.49 is: 226.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.12 : 260.78 = 164.49 : x
  2. Step 2: Convert to fraction form
    189.12/260.78 = 164.49/x
  3. Step 3: Cross multiply
    189.12x = 260.78 × 164.49
  4. Step 4: Simplify right side
    189.12x = 42,894.88
  5. Step 5: Solve for x
    x = 42,894.88/189.12
  6. Step 6: Final answer
    x = 226.81

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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.