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Finding the Fourth Proportional to 295.93, 408.14 and 185.26

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Solution

The fourth proportional to 295.93, 408.14 and 185.26 is: 255.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.93 : 408.14 = 185.26 : x
  2. Step 2: Convert to fraction form
    295.93/408.14 = 185.26/x
  3. Step 3: Cross multiply
    295.93x = 408.14 × 185.26
  4. Step 4: Simplify right side
    295.93x = 75,612.68
  5. Step 5: Solve for x
    x = 75,612.68/295.93
  6. Step 6: Final answer
    x = 255.51

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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.