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Finding the Fourth Proportional to 299.25, 448.26 and 208.14

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Solution

The fourth proportional to 299.25, 448.26 and 208.14 is: 311.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.25 : 448.26 = 208.14 : x
  2. Step 2: Convert to fraction form
    299.25/448.26 = 208.14/x
  3. Step 3: Cross multiply
    299.25x = 448.26 × 208.14
  4. Step 4: Simplify right side
    299.25x = 93,300.84
  5. Step 5: Solve for x
    x = 93,300.84/299.25
  6. Step 6: Final answer
    x = 311.78

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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.