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Finding the Fourth Proportional to 298.86, 412.46 and 194.25

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Solution

The fourth proportional to 298.86, 412.46 and 194.25 is: 268.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.86 : 412.46 = 194.25 : x
  2. Step 2: Convert to fraction form
    298.86/412.46 = 194.25/x
  3. Step 3: Cross multiply
    298.86x = 412.46 × 194.25
  4. Step 4: Simplify right side
    298.86x = 80,120.36
  5. Step 5: Solve for x
    x = 80,120.36/298.86
  6. Step 6: Final answer
    x = 268.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.