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Finding the Fourth Proportional to 246.47, 339.97 and 171.66

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Solution

The fourth proportional to 246.47, 339.97 and 171.66 is: 236.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.47 : 339.97 = 171.66 : x
  2. Step 2: Convert to fraction form
    246.47/339.97 = 171.66/x
  3. Step 3: Cross multiply
    246.47x = 339.97 × 171.66
  4. Step 4: Simplify right side
    246.47x = 58,359.25
  5. Step 5: Solve for x
    x = 58,359.25/246.47
  6. Step 6: Final answer
    x = 236.78

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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.