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Finding the Fourth Proportional to 298.18, 446.11 and 195.11

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Solution

The fourth proportional to 298.18, 446.11 and 195.11 is: 291.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.18 : 446.11 = 195.11 : x
  2. Step 2: Convert to fraction form
    298.18/446.11 = 195.11/x
  3. Step 3: Cross multiply
    298.18x = 446.11 × 195.11
  4. Step 4: Simplify right side
    298.18x = 87,039.48
  5. Step 5: Solve for x
    x = 87,039.48/298.18
  6. Step 6: Final answer
    x = 291.90

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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.