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Finding the Fourth Proportional to 189.09, 260.97 and 114.36

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Solution

The fourth proportional to 189.09, 260.97 and 114.36 is: 157.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.09 : 260.97 = 114.36 : x
  2. Step 2: Convert to fraction form
    189.09/260.97 = 114.36/x
  3. Step 3: Cross multiply
    189.09x = 260.97 × 114.36
  4. Step 4: Simplify right side
    189.09x = 29,844.53
  5. Step 5: Solve for x
    x = 29,844.53/189.09
  6. Step 6: Final answer
    x = 157.83

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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.