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Finding the Fourth Proportional to 172.26, 237.94 and 151.61

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Solution

The fourth proportional to 172.26, 237.94 and 151.61 is: 209.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.26 : 237.94 = 151.61 : x
  2. Step 2: Convert to fraction form
    172.26/237.94 = 151.61/x
  3. Step 3: Cross multiply
    172.26x = 237.94 × 151.61
  4. Step 4: Simplify right side
    172.26x = 36,072.51
  5. Step 5: Solve for x
    x = 36,072.51/172.26
  6. Step 6: Final answer
    x = 209.41

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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.