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Finding the Fourth Proportional to 267.92, 369.84 and 157.36

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Solution

The fourth proportional to 267.92, 369.84 and 157.36 is: 217.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.92 : 369.84 = 157.36 : x
  2. Step 2: Convert to fraction form
    267.92/369.84 = 157.36/x
  3. Step 3: Cross multiply
    267.92x = 369.84 × 157.36
  4. Step 4: Simplify right side
    267.92x = 58,198.02
  5. Step 5: Solve for x
    x = 58,198.02/267.92
  6. Step 6: Final answer
    x = 217.22

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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.