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Finding the Fourth Proportional to 199.89, 300.06 and 197.28

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Solution

The fourth proportional to 199.89, 300.06 and 197.28 is: 296.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.89 : 300.06 = 197.28 : x
  2. Step 2: Convert to fraction form
    199.89/300.06 = 197.28/x
  3. Step 3: Cross multiply
    199.89x = 300.06 × 197.28
  4. Step 4: Simplify right side
    199.89x = 59,195.84
  5. Step 5: Solve for x
    x = 59,195.84/199.89
  6. Step 6: Final answer
    x = 296.14

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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.