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Finding the Fourth Proportional to 189.56, 261.09 and 134.19

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Solution

The fourth proportional to 189.56, 261.09 and 134.19 is: 184.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.56 : 261.09 = 134.19 : x
  2. Step 2: Convert to fraction form
    189.56/261.09 = 134.19/x
  3. Step 3: Cross multiply
    189.56x = 261.09 × 134.19
  4. Step 4: Simplify right side
    189.56x = 35,035.67
  5. Step 5: Solve for x
    x = 35,035.67/189.56
  6. Step 6: Final answer
    x = 184.83

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Why These Related Problems?

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