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Finding the Fourth Proportional to 246.76, 369.97 and 92.68

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Solution

The fourth proportional to 246.76, 369.97 and 92.68 is: 138.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.76 : 369.97 = 92.68 : x
  2. Step 2: Convert to fraction form
    246.76/369.97 = 92.68/x
  3. Step 3: Cross multiply
    246.76x = 369.97 × 92.68
  4. Step 4: Simplify right side
    246.76x = 34,288.82
  5. Step 5: Solve for x
    x = 34,288.82/246.76
  6. Step 6: Final answer
    x = 138.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.