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Finding the Fourth Proportional to 246.52, 339.81 and 167.82

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Solution

The fourth proportional to 246.52, 339.81 and 167.82 is: 231.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.52 : 339.81 = 167.82 : x
  2. Step 2: Convert to fraction form
    246.52/339.81 = 167.82/x
  3. Step 3: Cross multiply
    246.52x = 339.81 × 167.82
  4. Step 4: Simplify right side
    246.52x = 57,026.91
  5. Step 5: Solve for x
    x = 57,026.91/246.52
  6. Step 6: Final answer
    x = 231.33

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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.