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Finding the Fourth Proportional to 267.04, 400.20 and 164.02

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Solution

The fourth proportional to 267.04, 400.20 and 164.02 is: 245.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.04 : 400.20 = 164.02 : x
  2. Step 2: Convert to fraction form
    267.04/400.20 = 164.02/x
  3. Step 3: Cross multiply
    267.04x = 400.20 × 164.02
  4. Step 4: Simplify right side
    267.04x = 65,640.80
  5. Step 5: Solve for x
    x = 65,640.80/267.04
  6. Step 6: Final answer
    x = 245.81

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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.