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Finding the Fourth Proportional to 267.64, 401.31 and 84.99

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Solution

The fourth proportional to 267.64, 401.31 and 84.99 is: 127.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.64 : 401.31 = 84.99 : x
  2. Step 2: Convert to fraction form
    267.64/401.31 = 84.99/x
  3. Step 3: Cross multiply
    267.64x = 401.31 × 84.99
  4. Step 4: Simplify right side
    267.64x = 34,107.34
  5. Step 5: Solve for x
    x = 34,107.34/267.64
  6. Step 6: Final answer
    x = 127.44

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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.