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Finding the Fourth Proportional to 267.68, 369.42 and 198.02

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Solution

The fourth proportional to 267.68, 369.42 and 198.02 is: 273.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.68 : 369.42 = 198.02 : x
  2. Step 2: Convert to fraction form
    267.68/369.42 = 198.02/x
  3. Step 3: Cross multiply
    267.68x = 369.42 × 198.02
  4. Step 4: Simplify right side
    267.68x = 73,152.55
  5. Step 5: Solve for x
    x = 73,152.55/267.68
  6. Step 6: Final answer
    x = 273.28

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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.