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Finding the Fourth Proportional to 299.03, 412.44 and 199.40

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Solution

The fourth proportional to 299.03, 412.44 and 199.40 is: 275.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.03 : 412.44 = 199.40 : x
  2. Step 2: Convert to fraction form
    299.03/412.44 = 199.40/x
  3. Step 3: Cross multiply
    299.03x = 412.44 × 199.40
  4. Step 4: Simplify right side
    299.03x = 82,238.47
  5. Step 5: Solve for x
    x = 82,238.47/299.03
  6. Step 6: Final answer
    x = 275.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.