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Finding the Fourth Proportional to 192.32, 288.44 and 100.97

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Solution

The fourth proportional to 192.32, 288.44 and 100.97 is: 151.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.32 : 288.44 = 100.97 : x
  2. Step 2: Convert to fraction form
    192.32/288.44 = 100.97/x
  3. Step 3: Cross multiply
    192.32x = 288.44 × 100.97
  4. Step 4: Simplify right side
    192.32x = 29,123.30
  5. Step 5: Solve for x
    x = 29,123.30/192.32
  6. Step 6: Final answer
    x = 151.43

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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.