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Finding the Fourth Proportional to 213.81, 319.92 and 133.31

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Solution

The fourth proportional to 213.81, 319.92 and 133.31 is: 199.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.81 : 319.92 = 133.31 : x
  2. Step 2: Convert to fraction form
    213.81/319.92 = 133.31/x
  3. Step 3: Cross multiply
    213.81x = 319.92 × 133.31
  4. Step 4: Simplify right side
    213.81x = 42,646.94
  5. Step 5: Solve for x
    x = 42,646.94/213.81
  6. Step 6: Final answer
    x = 199.46

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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.