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Finding the Fourth Proportional to 262.14, 362 and 196.54

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Solution

The fourth proportional to 262.14, 362 and 196.54 is: 271.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.14 : 362 = 196.54 : x
  2. Step 2: Convert to fraction form
    262.14/362 = 196.54/x
  3. Step 3: Cross multiply
    262.14x = 362 × 196.54
  4. Step 4: Simplify right side
    262.14x = 71,147.48
  5. Step 5: Solve for x
    x = 71,147.48/262.14
  6. Step 6: Final answer
    x = 271.41

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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.