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Finding the Fourth Proportional to 301.57, 416.27 and 185.20

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Solution

The fourth proportional to 301.57, 416.27 and 185.20 is: 255.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.57 : 416.27 = 185.20 : x
  2. Step 2: Convert to fraction form
    301.57/416.27 = 185.20/x
  3. Step 3: Cross multiply
    301.57x = 416.27 × 185.20
  4. Step 4: Simplify right side
    301.57x = 77,093.20
  5. Step 5: Solve for x
    x = 77,093.20/301.57
  6. Step 6: Final answer
    x = 255.64

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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.