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Finding the Fourth Proportional to 267.90, 369.93 and 180.84

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Solution

The fourth proportional to 267.90, 369.93 and 180.84 is: 249.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.90 : 369.93 = 180.84 : x
  2. Step 2: Convert to fraction form
    267.90/369.93 = 180.84/x
  3. Step 3: Cross multiply
    267.90x = 369.93 × 180.84
  4. Step 4: Simplify right side
    267.90x = 66,898.14
  5. Step 5: Solve for x
    x = 66,898.14/267.90
  6. Step 6: Final answer
    x = 249.71

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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.