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Finding the Fourth Proportional to 199.39, 299.18 and 130.94

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Solution

The fourth proportional to 199.39, 299.18 and 130.94 is: 196.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.39 : 299.18 = 130.94 : x
  2. Step 2: Convert to fraction form
    199.39/299.18 = 130.94/x
  3. Step 3: Cross multiply
    199.39x = 299.18 × 130.94
  4. Step 4: Simplify right side
    199.39x = 39,175.70
  5. Step 5: Solve for x
    x = 39,175.70/199.39
  6. Step 6: Final answer
    x = 196.48

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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.