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Finding the Fourth Proportional to 172.27, 257.94 and 126.27

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Solution

The fourth proportional to 172.27, 257.94 and 126.27 is: 189.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.27 : 257.94 = 126.27 : x
  2. Step 2: Convert to fraction form
    172.27/257.94 = 126.27/x
  3. Step 3: Cross multiply
    172.27x = 257.94 × 126.27
  4. Step 4: Simplify right side
    172.27x = 32,570.08
  5. Step 5: Solve for x
    x = 32,570.08/172.27
  6. Step 6: Final answer
    x = 189.06

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