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Finding the Fourth Proportional to 259.98, 391.36 and 199.86

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Solution

The fourth proportional to 259.98, 391.36 and 199.86 is: 300.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.98 : 391.36 = 199.86 : x
  2. Step 2: Convert to fraction form
    259.98/391.36 = 199.86/x
  3. Step 3: Cross multiply
    259.98x = 391.36 × 199.86
  4. Step 4: Simplify right side
    259.98x = 78,217.21
  5. Step 5: Solve for x
    x = 78,217.21/259.98
  6. Step 6: Final answer
    x = 300.86

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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.