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Finding the Fourth Proportional to 270.46, 404.70 and 197.92

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Solution

The fourth proportional to 270.46, 404.70 and 197.92 is: 296.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.46 : 404.70 = 197.92 : x
  2. Step 2: Convert to fraction form
    270.46/404.70 = 197.92/x
  3. Step 3: Cross multiply
    270.46x = 404.70 × 197.92
  4. Step 4: Simplify right side
    270.46x = 80,098.22
  5. Step 5: Solve for x
    x = 80,098.22/270.46
  6. Step 6: Final answer
    x = 296.16

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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.