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Finding the Fourth Proportional to 174.20, 260.96 and 82.67

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Solution

The fourth proportional to 174.20, 260.96 and 82.67 is: 123.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.20 : 260.96 = 82.67 : x
  2. Step 2: Convert to fraction form
    174.20/260.96 = 82.67/x
  3. Step 3: Cross multiply
    174.20x = 260.96 × 82.67
  4. Step 4: Simplify right side
    174.20x = 21,571.85
  5. Step 5: Solve for x
    x = 21,571.85/174.20
  6. Step 6: Final answer
    x = 123.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.