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Finding the Fourth Proportional to 172.27, 257.83 and 131.46

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Solution

The fourth proportional to 172.27, 257.83 and 131.46 is: 196.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.27 : 257.83 = 131.46 : x
  2. Step 2: Convert to fraction form
    172.27/257.83 = 131.46/x
  3. Step 3: Cross multiply
    172.27x = 257.83 × 131.46
  4. Step 4: Simplify right side
    172.27x = 33,894.33
  5. Step 5: Solve for x
    x = 33,894.33/172.27
  6. Step 6: Final answer
    x = 196.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.