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Finding the Fourth Proportional to 213.39, 293.94 and 197.64

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Solution

The fourth proportional to 213.39, 293.94 and 197.64 is: 272.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.39 : 293.94 = 197.64 : x
  2. Step 2: Convert to fraction form
    213.39/293.94 = 197.64/x
  3. Step 3: Cross multiply
    213.39x = 293.94 × 197.64
  4. Step 4: Simplify right side
    213.39x = 58,094.30
  5. Step 5: Solve for x
    x = 58,094.30/213.39
  6. Step 6: Final answer
    x = 272.24

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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.