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Finding the Fourth Proportional to 172.26, 257.85 and 126.48

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Solution

The fourth proportional to 172.26, 257.85 and 126.48 is: 189.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.26 : 257.85 = 126.48 : x
  2. Step 2: Convert to fraction form
    172.26/257.85 = 126.48/x
  3. Step 3: Cross multiply
    172.26x = 257.85 × 126.48
  4. Step 4: Simplify right side
    172.26x = 32,612.87
  5. Step 5: Solve for x
    x = 32,612.87/172.26
  6. Step 6: Final answer
    x = 189.32

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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.