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Finding the Fourth Proportional to 267.97, 369.74 and 157.43

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Solution

The fourth proportional to 267.97, 369.74 and 157.43 is: 217.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.97 : 369.74 = 157.43 : x
  2. Step 2: Convert to fraction form
    267.97/369.74 = 157.43/x
  3. Step 3: Cross multiply
    267.97x = 369.74 × 157.43
  4. Step 4: Simplify right side
    267.97x = 58,206.65
  5. Step 5: Solve for x
    x = 58,206.65/267.97
  6. Step 6: Final answer
    x = 217.21

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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.