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Finding the Fourth Proportional to 163.04, 243.96 and 150.92

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Solution

The fourth proportional to 163.04, 243.96 and 150.92 is: 225.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.04 : 243.96 = 150.92 : x
  2. Step 2: Convert to fraction form
    163.04/243.96 = 150.92/x
  3. Step 3: Cross multiply
    163.04x = 243.96 × 150.92
  4. Step 4: Simplify right side
    163.04x = 36,818.44
  5. Step 5: Solve for x
    x = 36,818.44/163.04
  6. Step 6: Final answer
    x = 225.82

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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.