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Finding the Fourth Proportional to 199.82, 299.36 and 134.66

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Solution

The fourth proportional to 199.82, 299.36 and 134.66 is: 201.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.82 : 299.36 = 134.66 : x
  2. Step 2: Convert to fraction form
    199.82/299.36 = 134.66/x
  3. Step 3: Cross multiply
    199.82x = 299.36 × 134.66
  4. Step 4: Simplify right side
    199.82x = 40,311.82
  5. Step 5: Solve for x
    x = 40,311.82/199.82
  6. Step 6: Final answer
    x = 201.74

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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.