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Finding the Fourth Proportional to 195.82, 269.85 and 136.60

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Solution

The fourth proportional to 195.82, 269.85 and 136.60 is: 188.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.82 : 269.85 = 136.60 : x
  2. Step 2: Convert to fraction form
    195.82/269.85 = 136.60/x
  3. Step 3: Cross multiply
    195.82x = 269.85 × 136.60
  4. Step 4: Simplify right side
    195.82x = 36,861.51
  5. Step 5: Solve for x
    x = 36,861.51/195.82
  6. Step 6: Final answer
    x = 188.24

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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.