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Finding the Fourth Proportional to 199.29, 299.05 and 130.85

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Solution

The fourth proportional to 199.29, 299.05 and 130.85 is: 196.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.29 : 299.05 = 130.85 : x
  2. Step 2: Convert to fraction form
    199.29/299.05 = 130.85/x
  3. Step 3: Cross multiply
    199.29x = 299.05 × 130.85
  4. Step 4: Simplify right side
    199.29x = 39,128.87
  5. Step 5: Solve for x
    x = 39,128.87/199.29
  6. Step 6: Final answer
    x = 196.34

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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.