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Finding the Fourth Proportional to 213.38, 320.12 and 131.16

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Solution

The fourth proportional to 213.38, 320.12 and 131.16 is: 196.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.38 : 320.12 = 131.16 : x
  2. Step 2: Convert to fraction form
    213.38/320.12 = 131.16/x
  3. Step 3: Cross multiply
    213.38x = 320.12 × 131.16
  4. Step 4: Simplify right side
    213.38x = 41,986.94
  5. Step 5: Solve for x
    x = 41,986.94/213.38
  6. Step 6: Final answer
    x = 196.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.