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Finding the Fourth Proportional to 192.10, 288.06 and 94.54

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Solution

The fourth proportional to 192.10, 288.06 and 94.54 is: 141.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.10 : 288.06 = 94.54 : x
  2. Step 2: Convert to fraction form
    192.10/288.06 = 94.54/x
  3. Step 3: Cross multiply
    192.10x = 288.06 × 94.54
  4. Step 4: Simplify right side
    192.10x = 27,233.19
  5. Step 5: Solve for x
    x = 27,233.19/192.10
  6. Step 6: Final answer
    x = 141.77

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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.