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Finding the Fourth Proportional to 267.94, 402.11 and 176.61

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Solution

The fourth proportional to 267.94, 402.11 and 176.61 is: 265.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.94 : 402.11 = 176.61 : x
  2. Step 2: Convert to fraction form
    267.94/402.11 = 176.61/x
  3. Step 3: Cross multiply
    267.94x = 402.11 × 176.61
  4. Step 4: Simplify right side
    267.94x = 71,016.65
  5. Step 5: Solve for x
    x = 71,016.65/267.94
  6. Step 6: Final answer
    x = 265.05

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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.