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Finding the Fourth Proportional to 163.37, 243.79 and 146.06

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Solution

The fourth proportional to 163.37, 243.79 and 146.06 is: 217.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.37 : 243.79 = 146.06 : x
  2. Step 2: Convert to fraction form
    163.37/243.79 = 146.06/x
  3. Step 3: Cross multiply
    163.37x = 243.79 × 146.06
  4. Step 4: Simplify right side
    163.37x = 35,608.21
  5. Step 5: Solve for x
    x = 35,608.21/163.37
  6. Step 6: Final answer
    x = 217.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.