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Finding the Fourth Proportional to 163.43, 244.84 and 145.20

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Solution

The fourth proportional to 163.43, 244.84 and 145.20 is: 217.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.43 : 244.84 = 145.20 : x
  2. Step 2: Convert to fraction form
    163.43/244.84 = 145.20/x
  3. Step 3: Cross multiply
    163.43x = 244.84 × 145.20
  4. Step 4: Simplify right side
    163.43x = 35,550.77
  5. Step 5: Solve for x
    x = 35,550.77/163.43
  6. Step 6: Final answer
    x = 217.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.