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Finding the Fourth Proportional to 298.12, 411.04 and 199.84

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Solution

The fourth proportional to 298.12, 411.04 and 199.84 is: 275.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.12 : 411.04 = 199.84 : x
  2. Step 2: Convert to fraction form
    298.12/411.04 = 199.84/x
  3. Step 3: Cross multiply
    298.12x = 411.04 × 199.84
  4. Step 4: Simplify right side
    298.12x = 82,142.23
  5. Step 5: Solve for x
    x = 82,142.23/298.12
  6. Step 6: Final answer
    x = 275.53

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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.