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Finding the Fourth Proportional to 213.17, 319.28 and 197.44

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Solution

The fourth proportional to 213.17, 319.28 and 197.44 is: 295.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.17 : 319.28 = 197.44 : x
  2. Step 2: Convert to fraction form
    213.17/319.28 = 197.44/x
  3. Step 3: Cross multiply
    213.17x = 319.28 × 197.44
  4. Step 4: Simplify right side
    213.17x = 63,036.86
  5. Step 5: Solve for x
    x = 63,036.86/213.17
  6. Step 6: Final answer
    x = 295.72

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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.