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Finding the Fourth Proportional to 295.77, 408.19 and 164.80

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Solution

The fourth proportional to 295.77, 408.19 and 164.80 is: 227.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.77 : 408.19 = 164.80 : x
  2. Step 2: Convert to fraction form
    295.77/408.19 = 164.80/x
  3. Step 3: Cross multiply
    295.77x = 408.19 × 164.80
  4. Step 4: Simplify right side
    295.77x = 67,269.71
  5. Step 5: Solve for x
    x = 67,269.71/295.77
  6. Step 6: Final answer
    x = 227.44

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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.