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Finding the Fourth Proportional to 279.44, 419.16 and 181.88

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Solution

The fourth proportional to 279.44, 419.16 and 181.88 is: 272.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.44 : 419.16 = 181.88 : x
  2. Step 2: Convert to fraction form
    279.44/419.16 = 181.88/x
  3. Step 3: Cross multiply
    279.44x = 419.16 × 181.88
  4. Step 4: Simplify right side
    279.44x = 76,236.82
  5. Step 5: Solve for x
    x = 76,236.82/279.44
  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.