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Finding the Fourth Proportional to 301.33, 415.78 and 185.05

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Solution

The fourth proportional to 301.33, 415.78 and 185.05 is: 255.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.33 : 415.78 = 185.05 : x
  2. Step 2: Convert to fraction form
    301.33/415.78 = 185.05/x
  3. Step 3: Cross multiply
    301.33x = 415.78 × 185.05
  4. Step 4: Simplify right side
    301.33x = 76,940.09
  5. Step 5: Solve for x
    x = 76,940.09/301.33
  6. Step 6: Final answer
    x = 255.33

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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.