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Finding the Fourth Proportional to 213.92, 295.21 and 120.67

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Solution

The fourth proportional to 213.92, 295.21 and 120.67 is: 166.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.92 : 295.21 = 120.67 : x
  2. Step 2: Convert to fraction form
    213.92/295.21 = 120.67/x
  3. Step 3: Cross multiply
    213.92x = 295.21 × 120.67
  4. Step 4: Simplify right side
    213.92x = 35,621.95
  5. Step 5: Solve for x
    x = 35,621.95/213.92
  6. Step 6: Final answer
    x = 166.52

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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.