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Finding the Fourth Proportional to 267.79, 401.10 and 209.62

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Solution

The fourth proportional to 267.79, 401.10 and 209.62 is: 313.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.79 : 401.10 = 209.62 : x
  2. Step 2: Convert to fraction form
    267.79/401.10 = 209.62/x
  3. Step 3: Cross multiply
    267.79x = 401.10 × 209.62
  4. Step 4: Simplify right side
    267.79x = 84,078.58
  5. Step 5: Solve for x
    x = 84,078.58/267.79
  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.