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Finding the Fourth Proportional to 295.86, 408.29 and 164.86

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Solution

The fourth proportional to 295.86, 408.29 and 164.86 is: 227.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.86 : 408.29 = 164.86 : x
  2. Step 2: Convert to fraction form
    295.86/408.29 = 164.86/x
  3. Step 3: Cross multiply
    295.86x = 408.29 × 164.86
  4. Step 4: Simplify right side
    295.86x = 67,310.69
  5. Step 5: Solve for x
    x = 67,310.69/295.86
  6. Step 6: Final answer
    x = 227.51

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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.