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Finding the Fourth Proportional to 295.98, 408.27 and 179.61

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Solution

The fourth proportional to 295.98, 408.27 and 179.61 is: 247.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.98 : 408.27 = 179.61 : x
  2. Step 2: Convert to fraction form
    295.98/408.27 = 179.61/x
  3. Step 3: Cross multiply
    295.98x = 408.27 × 179.61
  4. Step 4: Simplify right side
    295.98x = 73,329.37
  5. Step 5: Solve for x
    x = 73,329.37/295.98
  6. Step 6: Final answer
    x = 247.75

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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.