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Finding the Fourth Proportional to 246.09, 339.71 and 181.07

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Solution

The fourth proportional to 246.09, 339.71 and 181.07 is: 249.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.09 : 339.71 = 181.07 : x
  2. Step 2: Convert to fraction form
    246.09/339.71 = 181.07/x
  3. Step 3: Cross multiply
    246.09x = 339.71 × 181.07
  4. Step 4: Simplify right side
    246.09x = 61,508.69
  5. Step 5: Solve for x
    x = 61,508.69/246.09
  6. Step 6: Final answer
    x = 249.94

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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.