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Finding the Fourth Proportional to 213.14, 319.78 and 76.20

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Solution

The fourth proportional to 213.14, 319.78 and 76.20 is: 114.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.14 : 319.78 = 76.20 : x
  2. Step 2: Convert to fraction form
    213.14/319.78 = 76.20/x
  3. Step 3: Cross multiply
    213.14x = 319.78 × 76.20
  4. Step 4: Simplify right side
    213.14x = 24,367.24
  5. Step 5: Solve for x
    x = 24,367.24/213.14
  6. Step 6: Final answer
    x = 114.33

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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.