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Finding the Fourth Proportional to 300.75, 415.16 and 197.25

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Solution

The fourth proportional to 300.75, 415.16 and 197.25 is: 272.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.75 : 415.16 = 197.25 : x
  2. Step 2: Convert to fraction form
    300.75/415.16 = 197.25/x
  3. Step 3: Cross multiply
    300.75x = 415.16 × 197.25
  4. Step 4: Simplify right side
    300.75x = 81,889.32
  5. Step 5: Solve for x
    x = 81,889.32/300.75
  6. Step 6: Final answer
    x = 272.28

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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.