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Finding the Fourth Proportional to 299.51, 448.75 and 195.42

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Solution

The fourth proportional to 299.51, 448.75 and 195.42 is: 292.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.51 : 448.75 = 195.42 : x
  2. Step 2: Convert to fraction form
    299.51/448.75 = 195.42/x
  3. Step 3: Cross multiply
    299.51x = 448.75 × 195.42
  4. Step 4: Simplify right side
    299.51x = 87,694.73
  5. Step 5: Solve for x
    x = 87,694.73/299.51
  6. Step 6: Final answer
    x = 292.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.