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Finding the Fourth Proportional to 213.42, 293.94 and 197.22

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Solution

The fourth proportional to 213.42, 293.94 and 197.22 is: 271.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.42 : 293.94 = 197.22 : x
  2. Step 2: Convert to fraction form
    213.42/293.94 = 197.22/x
  3. Step 3: Cross multiply
    213.42x = 293.94 × 197.22
  4. Step 4: Simplify right side
    213.42x = 57,970.85
  5. Step 5: Solve for x
    x = 57,970.85/213.42
  6. Step 6: Final answer
    x = 271.63

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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.