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Finding the Fourth Proportional to 163.19, 245.81 and 146.26

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Solution

The fourth proportional to 163.19, 245.81 and 146.26 is: 220.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.19 : 245.81 = 146.26 : x
  2. Step 2: Convert to fraction form
    163.19/245.81 = 146.26/x
  3. Step 3: Cross multiply
    163.19x = 245.81 × 146.26
  4. Step 4: Simplify right side
    163.19x = 35,951.05
  5. Step 5: Solve for x
    x = 35,951.05/163.19
  6. Step 6: Final answer
    x = 220.30

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Why These Related Problems?

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