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Finding the Fourth Proportional to 189.94, 261.98 and 119.96

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Solution

The fourth proportional to 189.94, 261.98 and 119.96 is: 165.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.94 : 261.98 = 119.96 : x
  2. Step 2: Convert to fraction form
    189.94/261.98 = 119.96/x
  3. Step 3: Cross multiply
    189.94x = 261.98 × 119.96
  4. Step 4: Simplify right side
    189.94x = 31,427.12
  5. Step 5: Solve for x
    x = 31,427.12/189.94
  6. Step 6: Final answer
    x = 165.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.