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Finding the Fourth Proportional to 213.14, 319.77 and 76.21

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Solution

The fourth proportional to 213.14, 319.77 and 76.21 is: 114.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.14 : 319.77 = 76.21 : x
  2. Step 2: Convert to fraction form
    213.14/319.77 = 76.21/x
  3. Step 3: Cross multiply
    213.14x = 319.77 × 76.21
  4. Step 4: Simplify right side
    213.14x = 24,370.07
  5. Step 5: Solve for x
    x = 24,370.07/213.14
  6. Step 6: Final answer
    x = 114.34

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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.