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Finding the Fourth Proportional to 196.80, 298.80 and 196.80

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Solution

The fourth proportional to 196.80, 298.80 and 196.80 is: 298.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.80 : 298.80 = 196.80 : x
  2. Step 2: Convert to fraction form
    196.80/298.80 = 196.80/x
  3. Step 3: Cross multiply
    196.80x = 298.80 × 196.80
  4. Step 4: Simplify right side
    196.80x = 58,803.84
  5. Step 5: Solve for x
    x = 58,803.84/196.80
  6. Step 6: Final answer
    x = 298.80

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.