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Finding the Fourth Proportional to 163.62, 245.35 and 98.68

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Solution

The fourth proportional to 163.62, 245.35 and 98.68 is: 147.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.62 : 245.35 = 98.68 : x
  2. Step 2: Convert to fraction form
    163.62/245.35 = 98.68/x
  3. Step 3: Cross multiply
    163.62x = 245.35 × 98.68
  4. Step 4: Simplify right side
    163.62x = 24,211.14
  5. Step 5: Solve for x
    x = 24,211.14/163.62
  6. Step 6: Final answer
    x = 147.97

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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.