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Finding the Fourth Proportional to 301.78, 416.16 and 196.75

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Solution

The fourth proportional to 301.78, 416.16 and 196.75 is: 271.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.78 : 416.16 = 196.75 : x
  2. Step 2: Convert to fraction form
    301.78/416.16 = 196.75/x
  3. Step 3: Cross multiply
    301.78x = 416.16 × 196.75
  4. Step 4: Simplify right side
    301.78x = 81,879.48
  5. Step 5: Solve for x
    x = 81,879.48/301.78
  6. Step 6: Final answer
    x = 271.32

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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.