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Finding the Fourth Proportional to 195.63, 269.83 and 129.25

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Solution

The fourth proportional to 195.63, 269.83 and 129.25 is: 178.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.63 : 269.83 = 129.25 : x
  2. Step 2: Convert to fraction form
    195.63/269.83 = 129.25/x
  3. Step 3: Cross multiply
    195.63x = 269.83 × 129.25
  4. Step 4: Simplify right side
    195.63x = 34,874.51
  5. Step 5: Solve for x
    x = 34,874.51/195.63
  6. Step 6: Final answer
    x = 178.27

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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.