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Finding the Fourth Proportional to 197.49, 270.93 and 192.39

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Solution

The fourth proportional to 197.49, 270.93 and 192.39 is: 263.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.49 : 270.93 = 192.39 : x
  2. Step 2: Convert to fraction form
    197.49/270.93 = 192.39/x
  3. Step 3: Cross multiply
    197.49x = 270.93 × 192.39
  4. Step 4: Simplify right side
    197.49x = 52,124.22
  5. Step 5: Solve for x
    x = 52,124.22/197.49
  6. Step 6: Final answer
    x = 263.93

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.