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Finding the Fourth Proportional to 267.63, 369.41 and 209.31

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Solution

The fourth proportional to 267.63, 369.41 and 209.31 is: 288.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.63 : 369.41 = 209.31 : x
  2. Step 2: Convert to fraction form
    267.63/369.41 = 209.31/x
  3. Step 3: Cross multiply
    267.63x = 369.41 × 209.31
  4. Step 4: Simplify right side
    267.63x = 77,321.21
  5. Step 5: Solve for x
    x = 77,321.21/267.63
  6. Step 6: Final answer
    x = 288.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.