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Finding the Fourth Proportional to 163.52, 225.44 and 142.88

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Solution

The fourth proportional to 163.52, 225.44 and 142.88 is: 196.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.52 : 225.44 = 142.88 : x
  2. Step 2: Convert to fraction form
    163.52/225.44 = 142.88/x
  3. Step 3: Cross multiply
    163.52x = 225.44 × 142.88
  4. Step 4: Simplify right side
    163.52x = 32,210.87
  5. Step 5: Solve for x
    x = 32,210.87/163.52
  6. Step 6: Final answer
    x = 196.98

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