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Finding the Fourth Proportional to 297.75, 448.38 and 221.26

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Solution

The fourth proportional to 297.75, 448.38 and 221.26 is: 333.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.75 : 448.38 = 221.26 : x
  2. Step 2: Convert to fraction form
    297.75/448.38 = 221.26/x
  3. Step 3: Cross multiply
    297.75x = 448.38 × 221.26
  4. Step 4: Simplify right side
    297.75x = 99,208.56
  5. Step 5: Solve for x
    x = 99,208.56/297.75
  6. Step 6: Final answer
    x = 333.19

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.