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Finding the Fourth Proportional to 297.42, 446.11 and 181.89

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Solution

The fourth proportional to 297.42, 446.11 and 181.89 is: 272.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.42 : 446.11 = 181.89 : x
  2. Step 2: Convert to fraction form
    297.42/446.11 = 181.89/x
  3. Step 3: Cross multiply
    297.42x = 446.11 × 181.89
  4. Step 4: Simplify right side
    297.42x = 81,142.95
  5. Step 5: Solve for x
    x = 81,142.95/297.42
  6. Step 6: Final answer
    x = 272.82

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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.