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Finding the Fourth Proportional to 295.73, 408.09 and 164.73

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Solution

The fourth proportional to 295.73, 408.09 and 164.73 is: 227.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.73 : 408.09 = 164.73 : x
  2. Step 2: Convert to fraction form
    295.73/408.09 = 164.73/x
  3. Step 3: Cross multiply
    295.73x = 408.09 × 164.73
  4. Step 4: Simplify right side
    295.73x = 67,224.67
  5. Step 5: Solve for x
    x = 67,224.67/295.73
  6. Step 6: Final answer
    x = 227.32

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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.