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Finding the Fourth Proportional to 163.70, 245.41 and 76.98

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Solution

The fourth proportional to 163.70, 245.41 and 76.98 is: 115.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.70 : 245.41 = 76.98 : x
  2. Step 2: Convert to fraction form
    163.70/245.41 = 76.98/x
  3. Step 3: Cross multiply
    163.70x = 245.41 × 76.98
  4. Step 4: Simplify right side
    163.70x = 18,891.47
  5. Step 5: Solve for x
    x = 18,891.47/163.70
  6. Step 6: Final answer
    x = 115.41

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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.