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Finding the Fourth Proportional to 246.06, 369.11 and 164.34

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Solution

The fourth proportional to 246.06, 369.11 and 164.34 is: 246.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.06 : 369.11 = 164.34 : x
  2. Step 2: Convert to fraction form
    246.06/369.11 = 164.34/x
  3. Step 3: Cross multiply
    246.06x = 369.11 × 164.34
  4. Step 4: Simplify right side
    246.06x = 60,658.72
  5. Step 5: Solve for x
    x = 60,658.72/246.06
  6. Step 6: Final answer
    x = 246.52

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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.