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Finding the Fourth Proportional to 213.91, 295.23 and 120.66

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Solution

The fourth proportional to 213.91, 295.23 and 120.66 is: 166.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.91 : 295.23 = 120.66 : x
  2. Step 2: Convert to fraction form
    213.91/295.23 = 120.66/x
  3. Step 3: Cross multiply
    213.91x = 295.23 × 120.66
  4. Step 4: Simplify right side
    213.91x = 35,622.45
  5. Step 5: Solve for x
    x = 35,622.45/213.91
  6. Step 6: Final answer
    x = 166.53

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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.