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Finding the Fourth Proportional to 193.73, 292.44 and 192.71

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Solution

The fourth proportional to 193.73, 292.44 and 192.71 is: 290.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.73 : 292.44 = 192.71 : x
  2. Step 2: Convert to fraction form
    193.73/292.44 = 192.71/x
  3. Step 3: Cross multiply
    193.73x = 292.44 × 192.71
  4. Step 4: Simplify right side
    193.73x = 56,357.57
  5. Step 5: Solve for x
    x = 56,357.57/193.73
  6. Step 6: Final answer
    x = 290.92

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.