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Finding the Fourth Proportional to 213.38, 294.47 and 120.14

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Solution

The fourth proportional to 213.38, 294.47 and 120.14 is: 165.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.38 : 294.47 = 120.14 : x
  2. Step 2: Convert to fraction form
    213.38/294.47 = 120.14/x
  3. Step 3: Cross multiply
    213.38x = 294.47 × 120.14
  4. Step 4: Simplify right side
    213.38x = 35,375.55
  5. Step 5: Solve for x
    x = 35,375.55/213.38
  6. Step 6: Final answer
    x = 165.79

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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.