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Finding the Fourth Proportional to 212.24, 293.08 and 197.68

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Solution

The fourth proportional to 212.24, 293.08 and 197.68 is: 272.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.24 : 293.08 = 197.68 : x
  2. Step 2: Convert to fraction form
    212.24/293.08 = 197.68/x
  3. Step 3: Cross multiply
    212.24x = 293.08 × 197.68
  4. Step 4: Simplify right side
    212.24x = 57,936.05
  5. Step 5: Solve for x
    x = 57,936.05/212.24
  6. Step 6: Final answer
    x = 272.97

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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.