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Finding the Fourth Proportional to 267.63, 400.99 and 190.21

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Solution

The fourth proportional to 267.63, 400.99 and 190.21 is: 284.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.63 : 400.99 = 190.21 : x
  2. Step 2: Convert to fraction form
    267.63/400.99 = 190.21/x
  3. Step 3: Cross multiply
    267.63x = 400.99 × 190.21
  4. Step 4: Simplify right side
    267.63x = 76,272.31
  5. Step 5: Solve for x
    x = 76,272.31/267.63
  6. Step 6: Final answer
    x = 284.99

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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.