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Finding the Fourth Proportional to 213.05, 319.65 and 131.94

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Solution

The fourth proportional to 213.05, 319.65 and 131.94 is: 197.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.05 : 319.65 = 131.94 : x
  2. Step 2: Convert to fraction form
    213.05/319.65 = 131.94/x
  3. Step 3: Cross multiply
    213.05x = 319.65 × 131.94
  4. Step 4: Simplify right side
    213.05x = 42,174.62
  5. Step 5: Solve for x
    x = 42,174.62/213.05
  6. Step 6: Final answer
    x = 197.96

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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.