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Finding the Fourth Proportional to 163.20, 243.61 and 143.76

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Solution

The fourth proportional to 163.20, 243.61 and 143.76 is: 214.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.20 : 243.61 = 143.76 : x
  2. Step 2: Convert to fraction form
    163.20/243.61 = 143.76/x
  3. Step 3: Cross multiply
    163.20x = 243.61 × 143.76
  4. Step 4: Simplify right side
    163.20x = 35,021.37
  5. Step 5: Solve for x
    x = 35,021.37/163.20
  6. Step 6: Final answer
    x = 214.59

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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.