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Finding the Fourth Proportional to 300.88, 450.32 and 197.80

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Solution

The fourth proportional to 300.88, 450.32 and 197.80 is: 296.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.88 : 450.32 = 197.80 : x
  2. Step 2: Convert to fraction form
    300.88/450.32 = 197.80/x
  3. Step 3: Cross multiply
    300.88x = 450.32 × 197.80
  4. Step 4: Simplify right side
    300.88x = 89,073.30
  5. Step 5: Solve for x
    x = 89,073.30/300.88
  6. Step 6: Final answer
    x = 296.04

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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.