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Finding the Fourth Proportional to 309.54, 426.96 and 199.17

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Solution

The fourth proportional to 309.54, 426.96 and 199.17 is: 274.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.54 : 426.96 = 199.17 : x
  2. Step 2: Convert to fraction form
    309.54/426.96 = 199.17/x
  3. Step 3: Cross multiply
    309.54x = 426.96 × 199.17
  4. Step 4: Simplify right side
    309.54x = 85,037.62
  5. Step 5: Solve for x
    x = 85,037.62/309.54
  6. Step 6: Final answer
    x = 274.72

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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.