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Finding the Fourth Proportional to 172.92, 238.43 and 141.74

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Solution

The fourth proportional to 172.92, 238.43 and 141.74 is: 195.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.92 : 238.43 = 141.74 : x
  2. Step 2: Convert to fraction form
    172.92/238.43 = 141.74/x
  3. Step 3: Cross multiply
    172.92x = 238.43 × 141.74
  4. Step 4: Simplify right side
    172.92x = 33,794.23
  5. Step 5: Solve for x
    x = 33,794.23/172.92
  6. Step 6: Final answer
    x = 195.43

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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.