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Finding the Fourth Proportional to 309.56, 427.22 and 199.29

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Solution

The fourth proportional to 309.56, 427.22 and 199.29 is: 275.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.56 : 427.22 = 199.29 : x
  2. Step 2: Convert to fraction form
    309.56/427.22 = 199.29/x
  3. Step 3: Cross multiply
    309.56x = 427.22 × 199.29
  4. Step 4: Simplify right side
    309.56x = 85,139.68
  5. Step 5: Solve for x
    x = 85,139.68/309.56
  6. Step 6: Final answer
    x = 275.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.