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Finding the Fourth Proportional to 207.28, 310.92 and 197.92

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Solution

The fourth proportional to 207.28, 310.92 and 197.92 is: 296.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.28 : 310.92 = 197.92 : x
  2. Step 2: Convert to fraction form
    207.28/310.92 = 197.92/x
  3. Step 3: Cross multiply
    207.28x = 310.92 × 197.92
  4. Step 4: Simplify right side
    207.28x = 61,537.29
  5. Step 5: Solve for x
    x = 61,537.29/207.28
  6. Step 6: Final answer
    x = 296.88

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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.