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Finding the Fourth Proportional to 267.24, 400.05 and 226.34

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Solution

The fourth proportional to 267.24, 400.05 and 226.34 is: 338.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.24 : 400.05 = 226.34 : x
  2. Step 2: Convert to fraction form
    267.24/400.05 = 226.34/x
  3. Step 3: Cross multiply
    267.24x = 400.05 × 226.34
  4. Step 4: Simplify right side
    267.24x = 90,547.32
  5. Step 5: Solve for x
    x = 90,547.32/267.24
  6. Step 6: Final answer
    x = 338.82

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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.