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Finding the Fourth Proportional to 195.02, 269.27 and 128.61

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Solution

The fourth proportional to 195.02, 269.27 and 128.61 is: 177.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.02 : 269.27 = 128.61 : x
  2. Step 2: Convert to fraction form
    195.02/269.27 = 128.61/x
  3. Step 3: Cross multiply
    195.02x = 269.27 × 128.61
  4. Step 4: Simplify right side
    195.02x = 34,631.05
  5. Step 5: Solve for x
    x = 34,631.05/195.02
  6. Step 6: Final answer
    x = 177.58

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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.