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Finding the Fourth Proportional to 298.16, 447.10 and 115.56

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Solution

The fourth proportional to 298.16, 447.10 and 115.56 is: 173.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.16 : 447.10 = 115.56 : x
  2. Step 2: Convert to fraction form
    298.16/447.10 = 115.56/x
  3. Step 3: Cross multiply
    298.16x = 447.10 × 115.56
  4. Step 4: Simplify right side
    298.16x = 51,666.88
  5. Step 5: Solve for x
    x = 51,666.88/298.16
  6. Step 6: Final answer
    x = 173.29

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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.