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Finding the Fourth Proportional to 270.12, 406.74 and 198.48

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Solution

The fourth proportional to 270.12, 406.74 and 198.48 is: 298.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.12 : 406.74 = 198.48 : x
  2. Step 2: Convert to fraction form
    270.12/406.74 = 198.48/x
  3. Step 3: Cross multiply
    270.12x = 406.74 × 198.48
  4. Step 4: Simplify right side
    270.12x = 80,729.76
  5. Step 5: Solve for x
    x = 80,729.76/270.12
  6. Step 6: Final answer
    x = 298.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.