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Finding the Fourth Proportional to 163.64, 244.16 and 146.33

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Solution

The fourth proportional to 163.64, 244.16 and 146.33 is: 218.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.64 : 244.16 = 146.33 : x
  2. Step 2: Convert to fraction form
    163.64/244.16 = 146.33/x
  3. Step 3: Cross multiply
    163.64x = 244.16 × 146.33
  4. Step 4: Simplify right side
    163.64x = 35,727.81
  5. Step 5: Solve for x
    x = 35,727.81/163.64
  6. Step 6: Final answer
    x = 218.33

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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.