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Finding the Fourth Proportional to 163.13, 225.56 and 142.63

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Solution

The fourth proportional to 163.13, 225.56 and 142.63 is: 197.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.13 : 225.56 = 142.63 : x
  2. Step 2: Convert to fraction form
    163.13/225.56 = 142.63/x
  3. Step 3: Cross multiply
    163.13x = 225.56 × 142.63
  4. Step 4: Simplify right side
    163.13x = 32,170.91
  5. Step 5: Solve for x
    x = 32,170.91/163.13
  6. Step 6: Final answer
    x = 197.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.