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Finding the Fourth Proportional to 163.98, 245.91 and 99.78

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Solution

The fourth proportional to 163.98, 245.91 and 99.78 is: 149.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.98 : 245.91 = 99.78 : x
  2. Step 2: Convert to fraction form
    163.98/245.91 = 99.78/x
  3. Step 3: Cross multiply
    163.98x = 245.91 × 99.78
  4. Step 4: Simplify right side
    163.98x = 24,536.90
  5. Step 5: Solve for x
    x = 24,536.90/163.98
  6. Step 6: Final answer
    x = 149.63

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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.