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Finding the Fourth Proportional to 213.19, 319.17 and 131.77

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Solution

The fourth proportional to 213.19, 319.17 and 131.77 is: 197.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.19 : 319.17 = 131.77 : x
  2. Step 2: Convert to fraction form
    213.19/319.17 = 131.77/x
  3. Step 3: Cross multiply
    213.19x = 319.17 × 131.77
  4. Step 4: Simplify right side
    213.19x = 42,057.03
  5. Step 5: Solve for x
    x = 42,057.03/213.19
  6. Step 6: Final answer
    x = 197.27

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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.