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Finding the Fourth Proportional to 299.06, 412.58 and 199.44

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Solution

The fourth proportional to 299.06, 412.58 and 199.44 is: 275.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.06 : 412.58 = 199.44 : x
  2. Step 2: Convert to fraction form
    299.06/412.58 = 199.44/x
  3. Step 3: Cross multiply
    299.06x = 412.58 × 199.44
  4. Step 4: Simplify right side
    299.06x = 82,284.96
  5. Step 5: Solve for x
    x = 82,284.96/299.06
  6. Step 6: Final answer
    x = 275.15

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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.