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Finding the Fourth Proportional to 267.05, 398.66 and 226.02

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Solution

The fourth proportional to 267.05, 398.66 and 226.02 is: 337.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.05 : 398.66 = 226.02 : x
  2. Step 2: Convert to fraction form
    267.05/398.66 = 226.02/x
  3. Step 3: Cross multiply
    267.05x = 398.66 × 226.02
  4. Step 4: Simplify right side
    267.05x = 90,104.00
  5. Step 5: Solve for x
    x = 90,104.00/267.05
  6. Step 6: Final answer
    x = 337.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.