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Finding the Fourth Proportional to 267.97, 369.83 and 157.48

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Solution

The fourth proportional to 267.97, 369.83 and 157.48 is: 217.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.97 : 369.83 = 157.48 : x
  2. Step 2: Convert to fraction form
    267.97/369.83 = 157.48/x
  3. Step 3: Cross multiply
    267.97x = 369.83 × 157.48
  4. Step 4: Simplify right side
    267.97x = 58,240.83
  5. Step 5: Solve for x
    x = 58,240.83/267.97
  6. Step 6: Final answer
    x = 217.34

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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.