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Finding the Fourth Proportional to 408.06, 612.09 and 164.75

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Solution

The fourth proportional to 408.06, 612.09 and 164.75 is: 247.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.06 : 612.09 = 164.75 : x
  2. Step 2: Convert to fraction form
    408.06/612.09 = 164.75/x
  3. Step 3: Cross multiply
    408.06x = 612.09 × 164.75
  4. Step 4: Simplify right side
    408.06x = 100,838.77
  5. Step 5: Solve for x
    x = 100,838.77/408.06
  6. Step 6: Final answer
    x = 247.12

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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.