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Finding the Fourth Proportional to 267.10, 368.96 and 226.09

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Solution

The fourth proportional to 267.10, 368.96 and 226.09 is: 312.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.10 : 368.96 = 226.09 : x
  2. Step 2: Convert to fraction form
    267.10/368.96 = 226.09/x
  3. Step 3: Cross multiply
    267.10x = 368.96 × 226.09
  4. Step 4: Simplify right side
    267.10x = 83,416.57
  5. Step 5: Solve for x
    x = 83,416.57/267.10
  6. Step 6: Final answer
    x = 312.31

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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.