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Finding the Fourth Proportional to 298.41, 447.63 and 81.98

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Solution

The fourth proportional to 298.41, 447.63 and 81.98 is: 122.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.41 : 447.63 = 81.98 : x
  2. Step 2: Convert to fraction form
    298.41/447.63 = 81.98/x
  3. Step 3: Cross multiply
    298.41x = 447.63 × 81.98
  4. Step 4: Simplify right side
    298.41x = 36,699.05
  5. Step 5: Solve for x
    x = 36,699.05/298.41
  6. Step 6: Final answer
    x = 122.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.