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Finding the Fourth Proportional to 267.56, 400.71 and 209.64

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Solution

The fourth proportional to 267.56, 400.71 and 209.64 is: 313.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.56 : 400.71 = 209.64 : x
  2. Step 2: Convert to fraction form
    267.56/400.71 = 209.64/x
  3. Step 3: Cross multiply
    267.56x = 400.71 × 209.64
  4. Step 4: Simplify right side
    267.56x = 84,004.84
  5. Step 5: Solve for x
    x = 84,004.84/267.56
  6. Step 6: Final answer
    x = 313.97

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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.