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Finding the Fourth Proportional to 195.89, 293.94 and 127.40

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Solution

The fourth proportional to 195.89, 293.94 and 127.40 is: 191.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.89 : 293.94 = 127.40 : x
  2. Step 2: Convert to fraction form
    195.89/293.94 = 127.40/x
  3. Step 3: Cross multiply
    195.89x = 293.94 × 127.40
  4. Step 4: Simplify right side
    195.89x = 37,447.96
  5. Step 5: Solve for x
    x = 37,447.96/195.89
  6. Step 6: Final answer
    x = 191.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.