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Finding the Fourth Proportional to 195.64, 269.70 and 173.78

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Solution

The fourth proportional to 195.64, 269.70 and 173.78 is: 239.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.64 : 269.70 = 173.78 : x
  2. Step 2: Convert to fraction form
    195.64/269.70 = 173.78/x
  3. Step 3: Cross multiply
    195.64x = 269.70 × 173.78
  4. Step 4: Simplify right side
    195.64x = 46,868.47
  5. Step 5: Solve for x
    x = 46,868.47/195.64
  6. Step 6: Final answer
    x = 239.56

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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.