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Finding the Fourth Proportional to 189.94, 261.82 and 134.56

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Solution

The fourth proportional to 189.94, 261.82 and 134.56 is: 185.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.94 : 261.82 = 134.56 : x
  2. Step 2: Convert to fraction form
    189.94/261.82 = 134.56/x
  3. Step 3: Cross multiply
    189.94x = 261.82 × 134.56
  4. Step 4: Simplify right side
    189.94x = 35,230.50
  5. Step 5: Solve for x
    x = 35,230.50/189.94
  6. Step 6: Final answer
    x = 185.48

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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.