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Finding the Fourth Proportional to 267.43, 401.53 and 222.07

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Solution

The fourth proportional to 267.43, 401.53 and 222.07 is: 333.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.43 : 401.53 = 222.07 : x
  2. Step 2: Convert to fraction form
    267.43/401.53 = 222.07/x
  3. Step 3: Cross multiply
    267.43x = 401.53 × 222.07
  4. Step 4: Simplify right side
    267.43x = 89,167.77
  5. Step 5: Solve for x
    x = 89,167.77/267.43
  6. Step 6: Final answer
    x = 333.42

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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.