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Finding the Fourth Proportional to 267.30, 400.85 and 164.63

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Solution

The fourth proportional to 267.30, 400.85 and 164.63 is: 246.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.30 : 400.85 = 164.63 : x
  2. Step 2: Convert to fraction form
    267.30/400.85 = 164.63/x
  3. Step 3: Cross multiply
    267.30x = 400.85 × 164.63
  4. Step 4: Simplify right side
    267.30x = 65,991.94
  5. Step 5: Solve for x
    x = 65,991.94/267.30
  6. Step 6: Final answer
    x = 246.88

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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.