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Finding the Fourth Proportional to 298.69, 447.83 and 116.11

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Solution

The fourth proportional to 298.69, 447.83 and 116.11 is: 174.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.69 : 447.83 = 116.11 : x
  2. Step 2: Convert to fraction form
    298.69/447.83 = 116.11/x
  3. Step 3: Cross multiply
    298.69x = 447.83 × 116.11
  4. Step 4: Simplify right side
    298.69x = 51,994.72
  5. Step 5: Solve for x
    x = 51,994.72/298.69
  6. Step 6: Final answer
    x = 174.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.