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Finding the Fourth Proportional to 189.92, 260.78 and 161.96

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Solution

The fourth proportional to 189.92, 260.78 and 161.96 is: 222.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.92 : 260.78 = 161.96 : x
  2. Step 2: Convert to fraction form
    189.92/260.78 = 161.96/x
  3. Step 3: Cross multiply
    189.92x = 260.78 × 161.96
  4. Step 4: Simplify right side
    189.92x = 42,235.93
  5. Step 5: Solve for x
    x = 42,235.93/189.92
  6. Step 6: Final answer
    x = 222.39

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.