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Finding the Fourth Proportional to 213.97, 295.19 and 120.69

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Solution

The fourth proportional to 213.97, 295.19 and 120.69 is: 166.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.97 : 295.19 = 120.69 : x
  2. Step 2: Convert to fraction form
    213.97/295.19 = 120.69/x
  3. Step 3: Cross multiply
    213.97x = 295.19 × 120.69
  4. Step 4: Simplify right side
    213.97x = 35,625.22
  5. Step 5: Solve for x
    x = 35,625.22/213.97
  6. Step 6: Final answer
    x = 166.50

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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.