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Finding the Fourth Proportional to 267.49, 400.29 and 213.22

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Solution

The fourth proportional to 267.49, 400.29 and 213.22 is: 319.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.49 : 400.29 = 213.22 : x
  2. Step 2: Convert to fraction form
    267.49/400.29 = 213.22/x
  3. Step 3: Cross multiply
    267.49x = 400.29 × 213.22
  4. Step 4: Simplify right side
    267.49x = 85,349.83
  5. Step 5: Solve for x
    x = 85,349.83/267.49
  6. Step 6: Final answer
    x = 319.08

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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.