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Finding the Fourth Proportional to 267.64, 401.44 and 85.05

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Solution

The fourth proportional to 267.64, 401.44 and 85.05 is: 127.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.64 : 401.44 = 85.05 : x
  2. Step 2: Convert to fraction form
    267.64/401.44 = 85.05/x
  3. Step 3: Cross multiply
    267.64x = 401.44 × 85.05
  4. Step 4: Simplify right side
    267.64x = 34,140.68
  5. Step 5: Solve for x
    x = 34,140.68/267.64
  6. Step 6: Final answer
    x = 127.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.