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Finding the Fourth Proportional to 172.89, 258.87 and 142.59

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Solution

The fourth proportional to 172.89, 258.87 and 142.59 is: 213.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.89 : 258.87 = 142.59 : x
  2. Step 2: Convert to fraction form
    172.89/258.87 = 142.59/x
  3. Step 3: Cross multiply
    172.89x = 258.87 × 142.59
  4. Step 4: Simplify right side
    172.89x = 36,912.27
  5. Step 5: Solve for x
    x = 36,912.27/172.89
  6. Step 6: Final answer
    x = 213.50

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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.