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Finding the Fourth Proportional to 172.40, 258.23 and 137.97

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Solution

The fourth proportional to 172.40, 258.23 and 137.97 is: 206.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.40 : 258.23 = 137.97 : x
  2. Step 2: Convert to fraction form
    172.40/258.23 = 137.97/x
  3. Step 3: Cross multiply
    172.40x = 258.23 × 137.97
  4. Step 4: Simplify right side
    172.40x = 35,627.30
  5. Step 5: Solve for x
    x = 35,627.30/172.40
  6. Step 6: Final answer
    x = 206.66

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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.