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Finding the Fourth Proportional to 192.54, 288.57 and 105.80

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Solution

The fourth proportional to 192.54, 288.57 and 105.80 is: 158.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.54 : 288.57 = 105.80 : x
  2. Step 2: Convert to fraction form
    192.54/288.57 = 105.80/x
  3. Step 3: Cross multiply
    192.54x = 288.57 × 105.80
  4. Step 4: Simplify right side
    192.54x = 30,530.71
  5. Step 5: Solve for x
    x = 30,530.71/192.54
  6. Step 6: Final answer
    x = 158.57

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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.