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Finding the Fourth Proportional to 213.75, 294.98 and 120.49

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Solution

The fourth proportional to 213.75, 294.98 and 120.49 is: 166.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.75 : 294.98 = 120.49 : x
  2. Step 2: Convert to fraction form
    213.75/294.98 = 120.49/x
  3. Step 3: Cross multiply
    213.75x = 294.98 × 120.49
  4. Step 4: Simplify right side
    213.75x = 35,540.25
  5. Step 5: Solve for x
    x = 35,540.25/213.75
  6. Step 6: Final answer
    x = 166.27

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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.