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Finding the Fourth Proportional to 309.67, 427.63 and 199.34

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Solution

The fourth proportional to 309.67, 427.63 and 199.34 is: 275.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.67 : 427.63 = 199.34 : x
  2. Step 2: Convert to fraction form
    309.67/427.63 = 199.34/x
  3. Step 3: Cross multiply
    309.67x = 427.63 × 199.34
  4. Step 4: Simplify right side
    309.67x = 85,243.85
  5. Step 5: Solve for x
    x = 85,243.85/309.67
  6. Step 6: Final answer
    x = 275.27

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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.