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Finding the Fourth Proportional to 295.89, 408.34 and 164.91

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Solution

The fourth proportional to 295.89, 408.34 and 164.91 is: 227.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.89 : 408.34 = 164.91 : x
  2. Step 2: Convert to fraction form
    295.89/408.34 = 164.91/x
  3. Step 3: Cross multiply
    295.89x = 408.34 × 164.91
  4. Step 4: Simplify right side
    295.89x = 67,339.35
  5. Step 5: Solve for x
    x = 67,339.35/295.89
  6. Step 6: Final answer
    x = 227.58

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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.