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Finding the Fourth Proportional to 192.96, 288.12 and 154

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Solution

The fourth proportional to 192.96, 288.12 and 154 is: 229.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.96 : 288.12 = 154 : x
  2. Step 2: Convert to fraction form
    192.96/288.12 = 154/x
  3. Step 3: Cross multiply
    192.96x = 288.12 × 154
  4. Step 4: Simplify right side
    192.96x = 44,370.48
  5. Step 5: Solve for x
    x = 44,370.48/192.96
  6. Step 6: Final answer
    x = 229.95

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.