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Finding the Fourth Proportional to 198.75, 297.41 and 175.67

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Solution

The fourth proportional to 198.75, 297.41 and 175.67 is: 262.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.75 : 297.41 = 175.67 : x
  2. Step 2: Convert to fraction form
    198.75/297.41 = 175.67/x
  3. Step 3: Cross multiply
    198.75x = 297.41 × 175.67
  4. Step 4: Simplify right side
    198.75x = 52,244.76
  5. Step 5: Solve for x
    x = 52,244.76/198.75
  6. Step 6: Final answer
    x = 262.86

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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.