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Finding the Fourth Proportional to 300.94, 415.06 and 196.06

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Solution

The fourth proportional to 300.94, 415.06 and 196.06 is: 270.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.94 : 415.06 = 196.06 : x
  2. Step 2: Convert to fraction form
    300.94/415.06 = 196.06/x
  3. Step 3: Cross multiply
    300.94x = 415.06 × 196.06
  4. Step 4: Simplify right side
    300.94x = 81,376.66
  5. Step 5: Solve for x
    x = 81,376.66/300.94
  6. Step 6: Final answer
    x = 270.41

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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.