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Finding the Fourth Proportional to 200.30, 299.41 and 195.44

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Solution

The fourth proportional to 200.30, 299.41 and 195.44 is: 292.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.30 : 299.41 = 195.44 : x
  2. Step 2: Convert to fraction form
    200.30/299.41 = 195.44/x
  3. Step 3: Cross multiply
    200.30x = 299.41 × 195.44
  4. Step 4: Simplify right side
    200.30x = 58,516.69
  5. Step 5: Solve for x
    x = 58,516.69/200.30
  6. Step 6: Final answer
    x = 292.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.