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Finding the Fourth Proportional to 267.39, 369.04 and 169.20

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Solution

The fourth proportional to 267.39, 369.04 and 169.20 is: 233.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.39 : 369.04 = 169.20 : x
  2. Step 2: Convert to fraction form
    267.39/369.04 = 169.20/x
  3. Step 3: Cross multiply
    267.39x = 369.04 × 169.20
  4. Step 4: Simplify right side
    267.39x = 62,439.72
  5. Step 5: Solve for x
    x = 62,439.72/267.39
  6. Step 6: Final answer
    x = 233.52

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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.