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Finding the Fourth Proportional to 213.30, 293.49 and 197.91

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Solution

The fourth proportional to 213.30, 293.49 and 197.91 is: 272.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.30 : 293.49 = 197.91 : x
  2. Step 2: Convert to fraction form
    213.30/293.49 = 197.91/x
  3. Step 3: Cross multiply
    213.30x = 293.49 × 197.91
  4. Step 4: Simplify right side
    213.30x = 58,084.61
  5. Step 5: Solve for x
    x = 58,084.61/213.30
  6. Step 6: Final answer
    x = 272.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.