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Finding the Fourth Proportional to 267.76, 400.10 and 234.96

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Solution

The fourth proportional to 267.76, 400.10 and 234.96 is: 351.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.76 : 400.10 = 234.96 : x
  2. Step 2: Convert to fraction form
    267.76/400.10 = 234.96/x
  3. Step 3: Cross multiply
    267.76x = 400.10 × 234.96
  4. Step 4: Simplify right side
    267.76x = 94,007.50
  5. Step 5: Solve for x
    x = 94,007.50/267.76
  6. Step 6: Final answer
    x = 351.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.