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Finding the Fourth Proportional to 199.45, 299.38 and 134.25

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Solution

The fourth proportional to 199.45, 299.38 and 134.25 is: 201.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.45 : 299.38 = 134.25 : x
  2. Step 2: Convert to fraction form
    199.45/299.38 = 134.25/x
  3. Step 3: Cross multiply
    199.45x = 299.38 × 134.25
  4. Step 4: Simplify right side
    199.45x = 40,189.60
  5. Step 5: Solve for x
    x = 40,189.60/199.45
  6. Step 6: Final answer
    x = 201.50

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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.