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Finding the Fourth Proportional to 298.83, 447.99 and 116.13

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Solution

The fourth proportional to 298.83, 447.99 and 116.13 is: 174.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.83 : 447.99 = 116.13 : x
  2. Step 2: Convert to fraction form
    298.83/447.99 = 116.13/x
  3. Step 3: Cross multiply
    298.83x = 447.99 × 116.13
  4. Step 4: Simplify right side
    298.83x = 52,025.08
  5. Step 5: Solve for x
    x = 52,025.08/298.83
  6. Step 6: Final answer
    x = 174.10

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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.