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Finding the Fourth Proportional to 199.82, 299.17 and 102.11

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Solution

The fourth proportional to 199.82, 299.17 and 102.11 is: 152.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.82 : 299.17 = 102.11 : x
  2. Step 2: Convert to fraction form
    199.82/299.17 = 102.11/x
  3. Step 3: Cross multiply
    199.82x = 299.17 × 102.11
  4. Step 4: Simplify right side
    199.82x = 30,546.75
  5. Step 5: Solve for x
    x = 30,546.75/199.82
  6. Step 6: Final answer
    x = 152.88

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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.