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Finding the Fourth Proportional to 301.50, 416.09 and 185.09

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Solution

The fourth proportional to 301.50, 416.09 and 185.09 is: 255.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.50 : 416.09 = 185.09 : x
  2. Step 2: Convert to fraction form
    301.50/416.09 = 185.09/x
  3. Step 3: Cross multiply
    301.50x = 416.09 × 185.09
  4. Step 4: Simplify right side
    301.50x = 77,012.48
  5. Step 5: Solve for x
    x = 77,012.48/301.50
  6. Step 6: Final answer
    x = 255.43

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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.