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Finding the Fourth Proportional to 267.52, 369.26 and 180.22

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Solution

The fourth proportional to 267.52, 369.26 and 180.22 is: 248.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.52 : 369.26 = 180.22 : x
  2. Step 2: Convert to fraction form
    267.52/369.26 = 180.22/x
  3. Step 3: Cross multiply
    267.52x = 369.26 × 180.22
  4. Step 4: Simplify right side
    267.52x = 66,548.04
  5. Step 5: Solve for x
    x = 66,548.04/267.52
  6. Step 6: Final answer
    x = 248.76

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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.