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Finding the Fourth Proportional to 300.84, 415.31 and 196.07

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Solution

The fourth proportional to 300.84, 415.31 and 196.07 is: 270.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.84 : 415.31 = 196.07 : x
  2. Step 2: Convert to fraction form
    300.84/415.31 = 196.07/x
  3. Step 3: Cross multiply
    300.84x = 415.31 × 196.07
  4. Step 4: Simplify right side
    300.84x = 81,426.77
  5. Step 5: Solve for x
    x = 81,426.77/300.84
  6. Step 6: Final answer
    x = 270.66

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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.