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Finding the Fourth Proportional to 299.45, 412.98 and 194.50

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Solution

The fourth proportional to 299.45, 412.98 and 194.50 is: 268.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.45 : 412.98 = 194.50 : x
  2. Step 2: Convert to fraction form
    299.45/412.98 = 194.50/x
  3. Step 3: Cross multiply
    299.45x = 412.98 × 194.50
  4. Step 4: Simplify right side
    299.45x = 80,324.61
  5. Step 5: Solve for x
    x = 80,324.61/299.45
  6. Step 6: Final answer
    x = 268.24

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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.