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Finding the Fourth Proportional to 189.73, 282.83 and 181.63

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Solution

The fourth proportional to 189.73, 282.83 and 181.63 is: 270.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.73 : 282.83 = 181.63 : x
  2. Step 2: Convert to fraction form
    189.73/282.83 = 181.63/x
  3. Step 3: Cross multiply
    189.73x = 282.83 × 181.63
  4. Step 4: Simplify right side
    189.73x = 51,370.41
  5. Step 5: Solve for x
    x = 51,370.41/189.73
  6. Step 6: Final answer
    x = 270.76

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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.