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Finding the Fourth Proportional to 188.91, 260.15 and 161.37

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Solution

The fourth proportional to 188.91, 260.15 and 161.37 is: 222.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.91 : 260.15 = 161.37 : x
  2. Step 2: Convert to fraction form
    188.91/260.15 = 161.37/x
  3. Step 3: Cross multiply
    188.91x = 260.15 × 161.37
  4. Step 4: Simplify right side
    188.91x = 41,979.60
  5. Step 5: Solve for x
    x = 41,979.60/188.91
  6. Step 6: Final answer
    x = 222.22

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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.