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Finding the Fourth Proportional to 267.64, 401.48 and 85.12

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Solution

The fourth proportional to 267.64, 401.48 and 85.12 is: 127.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.64 : 401.48 = 85.12 : x
  2. Step 2: Convert to fraction form
    267.64/401.48 = 85.12/x
  3. Step 3: Cross multiply
    267.64x = 401.48 × 85.12
  4. Step 4: Simplify right side
    267.64x = 34,173.98
  5. Step 5: Solve for x
    x = 34,173.98/267.64
  6. Step 6: Final answer
    x = 127.69

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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.