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Finding the Fourth Proportional to 267.39, 369.08 and 193.54

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Solution

The fourth proportional to 267.39, 369.08 and 193.54 is: 267.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.39 : 369.08 = 193.54 : x
  2. Step 2: Convert to fraction form
    267.39/369.08 = 193.54/x
  3. Step 3: Cross multiply
    267.39x = 369.08 × 193.54
  4. Step 4: Simplify right side
    267.39x = 71,431.74
  5. Step 5: Solve for x
    x = 71,431.74/267.39
  6. Step 6: Final answer
    x = 267.14

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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.