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Finding the Fourth Proportional to 299.36, 448.68 and 191

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Solution

The fourth proportional to 299.36, 448.68 and 191 is: 286.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.36 : 448.68 = 191 : x
  2. Step 2: Convert to fraction form
    299.36/448.68 = 191/x
  3. Step 3: Cross multiply
    299.36x = 448.68 × 191
  4. Step 4: Simplify right side
    299.36x = 85,697.88
  5. Step 5: Solve for x
    x = 85,697.88/299.36
  6. Step 6: Final answer
    x = 286.27

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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.