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Finding the Fourth Proportional to 297.26, 444.74 and 181.70

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Solution

The fourth proportional to 297.26, 444.74 and 181.70 is: 271.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.26 : 444.74 = 181.70 : x
  2. Step 2: Convert to fraction form
    297.26/444.74 = 181.70/x
  3. Step 3: Cross multiply
    297.26x = 444.74 × 181.70
  4. Step 4: Simplify right side
    297.26x = 80,806.13
  5. Step 5: Solve for x
    x = 80,806.13/297.26
  6. Step 6: Final answer
    x = 271.84

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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.