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Finding the Fourth Proportional to 301.84, 416.39 and 196.80

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Solution

The fourth proportional to 301.84, 416.39 and 196.80 is: 271.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.84 : 416.39 = 196.80 : x
  2. Step 2: Convert to fraction form
    301.84/416.39 = 196.80/x
  3. Step 3: Cross multiply
    301.84x = 416.39 × 196.80
  4. Step 4: Simplify right side
    301.84x = 81,943.01
  5. Step 5: Solve for x
    x = 81,943.01/301.84
  6. Step 6: Final answer
    x = 271.48

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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.