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Finding the Fourth Proportional to 246.31, 369.09 and 164.86

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Solution

The fourth proportional to 246.31, 369.09 and 164.86 is: 247.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.31 : 369.09 = 164.86 : x
  2. Step 2: Convert to fraction form
    246.31/369.09 = 164.86/x
  3. Step 3: Cross multiply
    246.31x = 369.09 × 164.86
  4. Step 4: Simplify right side
    246.31x = 60,848.18
  5. Step 5: Solve for x
    x = 60,848.18/246.31
  6. Step 6: Final answer
    x = 247.04

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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.