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Finding the Fourth Proportional to 198.21, 295.26 and 181.20

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Solution

The fourth proportional to 198.21, 295.26 and 181.20 is: 269.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.21 : 295.26 = 181.20 : x
  2. Step 2: Convert to fraction form
    198.21/295.26 = 181.20/x
  3. Step 3: Cross multiply
    198.21x = 295.26 × 181.20
  4. Step 4: Simplify right side
    198.21x = 53,501.11
  5. Step 5: Solve for x
    x = 53,501.11/198.21
  6. Step 6: Final answer
    x = 269.92

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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.