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Finding the Fourth Proportional to 299.23, 448.07 and 196.21

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Solution

The fourth proportional to 299.23, 448.07 and 196.21 is: 293.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.23 : 448.07 = 196.21 : x
  2. Step 2: Convert to fraction form
    299.23/448.07 = 196.21/x
  3. Step 3: Cross multiply
    299.23x = 448.07 × 196.21
  4. Step 4: Simplify right side
    299.23x = 87,915.81
  5. Step 5: Solve for x
    x = 87,915.81/299.23
  6. Step 6: Final answer
    x = 293.81

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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.