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Finding the Fourth Proportional to 300.14, 450.34 and 197.47

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Solution

The fourth proportional to 300.14, 450.34 and 197.47 is: 296.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.14 : 450.34 = 197.47 : x
  2. Step 2: Convert to fraction form
    300.14/450.34 = 197.47/x
  3. Step 3: Cross multiply
    300.14x = 450.34 × 197.47
  4. Step 4: Simplify right side
    300.14x = 88,927.02
  5. Step 5: Solve for x
    x = 88,927.02/300.14
  6. Step 6: Final answer
    x = 296.29

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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.