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Finding the Fourth Proportional to 189.23, 284.31 and 120.89

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Solution

The fourth proportional to 189.23, 284.31 and 120.89 is: 181.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.23 : 284.31 = 120.89 : x
  2. Step 2: Convert to fraction form
    189.23/284.31 = 120.89/x
  3. Step 3: Cross multiply
    189.23x = 284.31 × 120.89
  4. Step 4: Simplify right side
    189.23x = 34,370.24
  5. Step 5: Solve for x
    x = 34,370.24/189.23
  6. Step 6: Final answer
    x = 181.63

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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.