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Finding the Fourth Proportional to 213.05, 319.12 and 166.66

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Solution

The fourth proportional to 213.05, 319.12 and 166.66 is: 249.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.05 : 319.12 = 166.66 : x
  2. Step 2: Convert to fraction form
    213.05/319.12 = 166.66/x
  3. Step 3: Cross multiply
    213.05x = 319.12 × 166.66
  4. Step 4: Simplify right side
    213.05x = 53,184.68
  5. Step 5: Solve for x
    x = 53,184.68/213.05
  6. Step 6: Final answer
    x = 249.64

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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.