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Finding the Fourth Proportional to 299.03, 412.43 and 194.00

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Solution

The fourth proportional to 299.03, 412.43 and 194.00 is: 267.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.03 : 412.43 = 194.00 : x
  2. Step 2: Convert to fraction form
    299.03/412.43 = 194.00/x
  3. Step 3: Cross multiply
    299.03x = 412.43 × 194.00
  4. Step 4: Simplify right side
    299.03x = 80,008.39
  5. Step 5: Solve for x
    x = 80,008.39/299.03
  6. Step 6: Final answer
    x = 267.56

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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.