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Finding the Fourth Proportional to 213.85, 295.14 and 120.60

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Solution

The fourth proportional to 213.85, 295.14 and 120.60 is: 166.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.85 : 295.14 = 120.60 : x
  2. Step 2: Convert to fraction form
    213.85/295.14 = 120.60/x
  3. Step 3: Cross multiply
    213.85x = 295.14 × 120.60
  4. Step 4: Simplify right side
    213.85x = 35,593.88
  5. Step 5: Solve for x
    x = 35,593.88/213.85
  6. Step 6: Final answer
    x = 166.44

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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.