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Finding the Fourth Proportional to 298.24, 411.60 and 173.94

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Solution

The fourth proportional to 298.24, 411.60 and 173.94 is: 240.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.24 : 411.60 = 173.94 : x
  2. Step 2: Convert to fraction form
    298.24/411.60 = 173.94/x
  3. Step 3: Cross multiply
    298.24x = 411.60 × 173.94
  4. Step 4: Simplify right side
    298.24x = 71,593.70
  5. Step 5: Solve for x
    x = 71,593.70/298.24
  6. Step 6: Final answer
    x = 240.05

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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.