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Finding the Fourth Proportional to 172.38, 238.11 and 128.22

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Solution

The fourth proportional to 172.38, 238.11 and 128.22 is: 177.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.38 : 238.11 = 128.22 : x
  2. Step 2: Convert to fraction form
    172.38/238.11 = 128.22/x
  3. Step 3: Cross multiply
    172.38x = 238.11 × 128.22
  4. Step 4: Simplify right side
    172.38x = 30,530.46
  5. Step 5: Solve for x
    x = 30,530.46/172.38
  6. Step 6: Final answer
    x = 177.11

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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.