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Finding the Fourth Proportional to 213.96, 295.26 and 120.71

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Solution

The fourth proportional to 213.96, 295.26 and 120.71 is: 166.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.96 : 295.26 = 120.71 : x
  2. Step 2: Convert to fraction form
    213.96/295.26 = 120.71/x
  3. Step 3: Cross multiply
    213.96x = 295.26 × 120.71
  4. Step 4: Simplify right side
    213.96x = 35,640.83
  5. Step 5: Solve for x
    x = 35,640.83/213.96
  6. Step 6: Final answer
    x = 166.58

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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.