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Finding the Fourth Proportional to 298.20, 411.44 and 193.31

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Solution

The fourth proportional to 298.20, 411.44 and 193.31 is: 266.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.20 : 411.44 = 193.31 : x
  2. Step 2: Convert to fraction form
    298.20/411.44 = 193.31/x
  3. Step 3: Cross multiply
    298.20x = 411.44 × 193.31
  4. Step 4: Simplify right side
    298.20x = 79,534.71
  5. Step 5: Solve for x
    x = 79,534.71/298.20
  6. Step 6: Final answer
    x = 266.71

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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.