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Finding the Fourth Proportional to 192.88, 264.80 and 163.76

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Solution

The fourth proportional to 192.88, 264.80 and 163.76 is: 224.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.88 : 264.80 = 163.76 : x
  2. Step 2: Convert to fraction form
    192.88/264.80 = 163.76/x
  3. Step 3: Cross multiply
    192.88x = 264.80 × 163.76
  4. Step 4: Simplify right side
    192.88x = 43,363.65
  5. Step 5: Solve for x
    x = 43,363.65/192.88
  6. Step 6: Final answer
    x = 224.82

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.