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Finding the Fourth Proportional to 197.84, 298.22 and 180.56

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Solution

The fourth proportional to 197.84, 298.22 and 180.56 is: 272.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.84 : 298.22 = 180.56 : x
  2. Step 2: Convert to fraction form
    197.84/298.22 = 180.56/x
  3. Step 3: Cross multiply
    197.84x = 298.22 × 180.56
  4. Step 4: Simplify right side
    197.84x = 53,846.60
  5. Step 5: Solve for x
    x = 53,846.60/197.84
  6. Step 6: Final answer
    x = 272.17

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.