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Finding the Fourth Proportional to 408.42, 612.62 and 164.94

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Solution

The fourth proportional to 408.42, 612.62 and 164.94 is: 247.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.42 : 612.62 = 164.94 : x
  2. Step 2: Convert to fraction form
    408.42/612.62 = 164.94/x
  3. Step 3: Cross multiply
    408.42x = 612.62 × 164.94
  4. Step 4: Simplify right side
    408.42x = 101,046.26
  5. Step 5: Solve for x
    x = 101,046.26/408.42
  6. Step 6: Final answer
    x = 247.41

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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.