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Finding the Fourth Proportional to 300.99, 415.20 and 195.93

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Solution

The fourth proportional to 300.99, 415.20 and 195.93 is: 270.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.99 : 415.20 = 195.93 : x
  2. Step 2: Convert to fraction form
    300.99/415.20 = 195.93/x
  3. Step 3: Cross multiply
    300.99x = 415.20 × 195.93
  4. Step 4: Simplify right side
    300.99x = 81,350.14
  5. Step 5: Solve for x
    x = 81,350.14/300.99
  6. Step 6: Final answer
    x = 270.28

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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.