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Finding the Fourth Proportional to 199.35, 299.12 and 103.16

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Solution

The fourth proportional to 199.35, 299.12 and 103.16 is: 154.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.35 : 299.12 = 103.16 : x
  2. Step 2: Convert to fraction form
    199.35/299.12 = 103.16/x
  3. Step 3: Cross multiply
    199.35x = 299.12 × 103.16
  4. Step 4: Simplify right side
    199.35x = 30,855.21
  5. Step 5: Solve for x
    x = 30,855.21/199.35
  6. Step 6: Final answer
    x = 154.78

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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.