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Finding the Fourth Proportional to 197.68, 297.18 and 184.98

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Solution

The fourth proportional to 197.68, 297.18 and 184.98 is: 278.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.68 : 297.18 = 184.98 : x
  2. Step 2: Convert to fraction form
    197.68/297.18 = 184.98/x
  3. Step 3: Cross multiply
    197.68x = 297.18 × 184.98
  4. Step 4: Simplify right side
    197.68x = 54,972.36
  5. Step 5: Solve for x
    x = 54,972.36/197.68
  6. Step 6: Final answer
    x = 278.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.