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Finding the Fourth Proportional to 295.69, 408.09 and 164.74

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Solution

The fourth proportional to 295.69, 408.09 and 164.74 is: 227.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.69 : 408.09 = 164.74 : x
  2. Step 2: Convert to fraction form
    295.69/408.09 = 164.74/x
  3. Step 3: Cross multiply
    295.69x = 408.09 × 164.74
  4. Step 4: Simplify right side
    295.69x = 67,228.75
  5. Step 5: Solve for x
    x = 67,228.75/295.69
  6. Step 6: Final answer
    x = 227.36

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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.