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Finding the Fourth Proportional to 197.84, 297.27 and 189.74

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Solution

The fourth proportional to 197.84, 297.27 and 189.74 is: 285.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.84 : 297.27 = 189.74 : x
  2. Step 2: Convert to fraction form
    197.84/297.27 = 189.74/x
  3. Step 3: Cross multiply
    197.84x = 297.27 × 189.74
  4. Step 4: Simplify right side
    197.84x = 56,404.75
  5. Step 5: Solve for x
    x = 56,404.75/197.84
  6. Step 6: Final answer
    x = 285.10

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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.