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Finding the Fourth Proportional to 267.26, 400.56 and 198.26

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Solution

The fourth proportional to 267.26, 400.56 and 198.26 is: 297.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.26 : 400.56 = 198.26 : x
  2. Step 2: Convert to fraction form
    267.26/400.56 = 198.26/x
  3. Step 3: Cross multiply
    267.26x = 400.56 × 198.26
  4. Step 4: Simplify right side
    267.26x = 79,415.03
  5. Step 5: Solve for x
    x = 79,415.03/267.26
  6. Step 6: Final answer
    x = 297.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.