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Finding the Fourth Proportional to 163.44, 246.36 and 146.70

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Solution

The fourth proportional to 163.44, 246.36 and 146.70 is: 221.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.44 : 246.36 = 146.70 : x
  2. Step 2: Convert to fraction form
    163.44/246.36 = 146.70/x
  3. Step 3: Cross multiply
    163.44x = 246.36 × 146.70
  4. Step 4: Simplify right side
    163.44x = 36,141.56
  5. Step 5: Solve for x
    x = 36,141.56/163.44
  6. Step 6: Final answer
    x = 221.13

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.