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Finding the Fourth Proportional to 299.83, 449.81 and 177.95

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Solution

The fourth proportional to 299.83, 449.81 and 177.95 is: 266.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.83 : 449.81 = 177.95 : x
  2. Step 2: Convert to fraction form
    299.83/449.81 = 177.95/x
  3. Step 3: Cross multiply
    299.83x = 449.81 × 177.95
  4. Step 4: Simplify right side
    299.83x = 80,043.69
  5. Step 5: Solve for x
    x = 80,043.69/299.83
  6. Step 6: Final answer
    x = 266.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.