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Finding the Fourth Proportional to 295.84, 408.13 and 185.37

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Solution

The fourth proportional to 295.84, 408.13 and 185.37 is: 255.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.84 : 408.13 = 185.37 : x
  2. Step 2: Convert to fraction form
    295.84/408.13 = 185.37/x
  3. Step 3: Cross multiply
    295.84x = 408.13 × 185.37
  4. Step 4: Simplify right side
    295.84x = 75,655.06
  5. Step 5: Solve for x
    x = 75,655.06/295.84
  6. Step 6: Final answer
    x = 255.73

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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.