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Finding the Fourth Proportional to 213.22, 319.78 and 180.42

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Solution

The fourth proportional to 213.22, 319.78 and 180.42 is: 270.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.22 : 319.78 = 180.42 : x
  2. Step 2: Convert to fraction form
    213.22/319.78 = 180.42/x
  3. Step 3: Cross multiply
    213.22x = 319.78 × 180.42
  4. Step 4: Simplify right side
    213.22x = 57,694.71
  5. Step 5: Solve for x
    x = 57,694.71/213.22
  6. Step 6: Final answer
    x = 270.59

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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.