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Finding the Fourth Proportional to 246.96, 341.06 and 164.44

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Solution

The fourth proportional to 246.96, 341.06 and 164.44 is: 227.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.96 : 341.06 = 164.44 : x
  2. Step 2: Convert to fraction form
    246.96/341.06 = 164.44/x
  3. Step 3: Cross multiply
    246.96x = 341.06 × 164.44
  4. Step 4: Simplify right side
    246.96x = 56,083.91
  5. Step 5: Solve for x
    x = 56,083.91/246.96
  6. Step 6: Final answer
    x = 227.10

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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.