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Finding the Fourth Proportional to 213.89, 295.13 and 120.62

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Solution

The fourth proportional to 213.89, 295.13 and 120.62 is: 166.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.89 : 295.13 = 120.62 : x
  2. Step 2: Convert to fraction form
    213.89/295.13 = 120.62/x
  3. Step 3: Cross multiply
    213.89x = 295.13 × 120.62
  4. Step 4: Simplify right side
    213.89x = 35,596.50
  5. Step 5: Solve for x
    x = 35,596.50/213.89
  6. Step 6: Final answer
    x = 166.43

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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.