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Finding the Fourth Proportional to 198.32, 297.05 and 190.76

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Solution

The fourth proportional to 198.32, 297.05 and 190.76 is: 285.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.32 : 297.05 = 190.76 : x
  2. Step 2: Convert to fraction form
    198.32/297.05 = 190.76/x
  3. Step 3: Cross multiply
    198.32x = 297.05 × 190.76
  4. Step 4: Simplify right side
    198.32x = 56,662.82
  5. Step 5: Solve for x
    x = 56,662.82/198.32
  6. Step 6: Final answer
    x = 285.72

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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.