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Finding the Fourth Proportional to 298.14, 447.18 and 92.70

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Solution

The fourth proportional to 298.14, 447.18 and 92.70 is: 139.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.14 : 447.18 = 92.70 : x
  2. Step 2: Convert to fraction form
    298.14/447.18 = 92.70/x
  3. Step 3: Cross multiply
    298.14x = 447.18 × 92.70
  4. Step 4: Simplify right side
    298.14x = 41,453.59
  5. Step 5: Solve for x
    x = 41,453.59/298.14
  6. Step 6: Final answer
    x = 139.04

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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.