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Finding the Fourth Proportional to 213.21, 319.71 and 180.61

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Solution

The fourth proportional to 213.21, 319.71 and 180.61 is: 270.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.21 : 319.71 = 180.61 : x
  2. Step 2: Convert to fraction form
    213.21/319.71 = 180.61/x
  3. Step 3: Cross multiply
    213.21x = 319.71 × 180.61
  4. Step 4: Simplify right side
    213.21x = 57,742.82
  5. Step 5: Solve for x
    x = 57,742.82/213.21
  6. Step 6: Final answer
    x = 270.83

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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.