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Finding the Fourth Proportional to 197.08, 293.51 and 196.08

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Solution

The fourth proportional to 197.08, 293.51 and 196.08 is: 292.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.08 : 293.51 = 196.08 : x
  2. Step 2: Convert to fraction form
    197.08/293.51 = 196.08/x
  3. Step 3: Cross multiply
    197.08x = 293.51 × 196.08
  4. Step 4: Simplify right side
    197.08x = 57,551.44
  5. Step 5: Solve for x
    x = 57,551.44/197.08
  6. Step 6: Final answer
    x = 292.02

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.