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Finding the Fourth Proportional to 298.09, 411.57 and 193.24

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Solution

The fourth proportional to 298.09, 411.57 and 193.24 is: 266.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.09 : 411.57 = 193.24 : x
  2. Step 2: Convert to fraction form
    298.09/411.57 = 193.24/x
  3. Step 3: Cross multiply
    298.09x = 411.57 × 193.24
  4. Step 4: Simplify right side
    298.09x = 79,529.73
  5. Step 5: Solve for x
    x = 79,529.73/298.09
  6. Step 6: Final answer
    x = 266.80

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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.