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Finding the Fourth Proportional to 267.41, 400.70 and 198.61

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Solution

The fourth proportional to 267.41, 400.70 and 198.61 is: 297.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.41 : 400.70 = 198.61 : x
  2. Step 2: Convert to fraction form
    267.41/400.70 = 198.61/x
  3. Step 3: Cross multiply
    267.41x = 400.70 × 198.61
  4. Step 4: Simplify right side
    267.41x = 79,581.02
  5. Step 5: Solve for x
    x = 79,581.02/267.41
  6. Step 6: Final answer
    x = 297.60

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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.