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Finding the Fourth Proportional to 195.70, 270.66 and 192.46

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Solution

The fourth proportional to 195.70, 270.66 and 192.46 is: 266.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.70 : 270.66 = 192.46 : x
  2. Step 2: Convert to fraction form
    195.70/270.66 = 192.46/x
  3. Step 3: Cross multiply
    195.70x = 270.66 × 192.46
  4. Step 4: Simplify right side
    195.70x = 52,091.22
  5. Step 5: Solve for x
    x = 52,091.22/195.70
  6. Step 6: Final answer
    x = 266.18

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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.