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Finding the Fourth Proportional to 299.13, 412.64 and 194.32

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Solution

The fourth proportional to 299.13, 412.64 and 194.32 is: 268.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.13 : 412.64 = 194.32 : x
  2. Step 2: Convert to fraction form
    299.13/412.64 = 194.32/x
  3. Step 3: Cross multiply
    299.13x = 412.64 × 194.32
  4. Step 4: Simplify right side
    299.13x = 80,183.25
  5. Step 5: Solve for x
    x = 80,183.25/299.13
  6. Step 6: Final answer
    x = 268.06

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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.