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Finding the Fourth Proportional to 298.98, 412.68 and 194.18

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Solution

The fourth proportional to 298.98, 412.68 and 194.18 is: 268.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.98 : 412.68 = 194.18 : x
  2. Step 2: Convert to fraction form
    298.98/412.68 = 194.18/x
  3. Step 3: Cross multiply
    298.98x = 412.68 × 194.18
  4. Step 4: Simplify right side
    298.98x = 80,134.20
  5. Step 5: Solve for x
    x = 80,134.20/298.98
  6. Step 6: Final answer
    x = 268.03

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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.