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Finding the Fourth Proportional to 163.77, 226.28 and 128.88

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Solution

The fourth proportional to 163.77, 226.28 and 128.88 is: 178.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.77 : 226.28 = 128.88 : x
  2. Step 2: Convert to fraction form
    163.77/226.28 = 128.88/x
  3. Step 3: Cross multiply
    163.77x = 226.28 × 128.88
  4. Step 4: Simplify right side
    163.77x = 29,161.84
  5. Step 5: Solve for x
    x = 29,161.84/163.77
  6. Step 6: Final answer
    x = 178.07

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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.