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Finding the Fourth Proportional to 299.12, 447.60 and 177.44

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Solution

The fourth proportional to 299.12, 447.60 and 177.44 is: 265.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.12 : 447.60 = 177.44 : x
  2. Step 2: Convert to fraction form
    299.12/447.60 = 177.44/x
  3. Step 3: Cross multiply
    299.12x = 447.60 × 177.44
  4. Step 4: Simplify right side
    299.12x = 79,422.14
  5. Step 5: Solve for x
    x = 79,422.14/299.12
  6. Step 6: Final answer
    x = 265.52

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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.