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Finding the Fourth Proportional to 267.06, 369.04 and 257.94

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Solution

The fourth proportional to 267.06, 369.04 and 257.94 is: 356.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.06 : 369.04 = 257.94 : x
  2. Step 2: Convert to fraction form
    267.06/369.04 = 257.94/x
  3. Step 3: Cross multiply
    267.06x = 369.04 × 257.94
  4. Step 4: Simplify right side
    267.06x = 95,190.18
  5. Step 5: Solve for x
    x = 95,190.18/267.06
  6. Step 6: Final answer
    x = 356.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.