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Finding the Fourth Proportional to 299.87, 414 and 195.01

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Solution

The fourth proportional to 299.87, 414 and 195.01 is: 269.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.87 : 414 = 195.01 : x
  2. Step 2: Convert to fraction form
    299.87/414 = 195.01/x
  3. Step 3: Cross multiply
    299.87x = 414 × 195.01
  4. Step 4: Simplify right side
    299.87x = 80,734.14
  5. Step 5: Solve for x
    x = 80,734.14/299.87
  6. Step 6: Final answer
    x = 269.23

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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.