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Finding the Fourth Proportional to 174.92, 260.76 and 161.96

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Solution

The fourth proportional to 174.92, 260.76 and 161.96 is: 241.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.92 : 260.76 = 161.96 : x
  2. Step 2: Convert to fraction form
    174.92/260.76 = 161.96/x
  3. Step 3: Cross multiply
    174.92x = 260.76 × 161.96
  4. Step 4: Simplify right side
    174.92x = 42,231.88
  5. Step 5: Solve for x
    x = 42,231.88/174.92
  6. Step 6: Final answer
    x = 241.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.