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Finding the Fourth Proportional to 163.09, 225.19 and 128.29

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Solution

The fourth proportional to 163.09, 225.19 and 128.29 is: 177.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.09 : 225.19 = 128.29 : x
  2. Step 2: Convert to fraction form
    163.09/225.19 = 128.29/x
  3. Step 3: Cross multiply
    163.09x = 225.19 × 128.29
  4. Step 4: Simplify right side
    163.09x = 28,889.63
  5. Step 5: Solve for x
    x = 28,889.63/163.09
  6. Step 6: Final answer
    x = 177.14

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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.