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Finding the Fourth Proportional to 197.79, 298.19 and 183.87

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Solution

The fourth proportional to 197.79, 298.19 and 183.87 is: 277.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.79 : 298.19 = 183.87 : x
  2. Step 2: Convert to fraction form
    197.79/298.19 = 183.87/x
  3. Step 3: Cross multiply
    197.79x = 298.19 × 183.87
  4. Step 4: Simplify right side
    197.79x = 54,828.65
  5. Step 5: Solve for x
    x = 54,828.65/197.79
  6. Step 6: Final answer
    x = 277.21

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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.