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Finding the Fourth Proportional to 366.20, 548.24 and 192.46

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Solution

The fourth proportional to 366.20, 548.24 and 192.46 is: 288.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.20 : 548.24 = 192.46 : x
  2. Step 2: Convert to fraction form
    366.20/548.24 = 192.46/x
  3. Step 3: Cross multiply
    366.20x = 548.24 × 192.46
  4. Step 4: Simplify right side
    366.20x = 105,511.94
  5. Step 5: Solve for x
    x = 105,511.94/366.20
  6. Step 6: Final answer
    x = 288.12

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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.