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Finding the Fourth Proportional to 172.25, 257.89 and 111.19

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Solution

The fourth proportional to 172.25, 257.89 and 111.19 is: 166.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.25 : 257.89 = 111.19 : x
  2. Step 2: Convert to fraction form
    172.25/257.89 = 111.19/x
  3. Step 3: Cross multiply
    172.25x = 257.89 × 111.19
  4. Step 4: Simplify right side
    172.25x = 28,675.53
  5. Step 5: Solve for x
    x = 28,675.53/172.25
  6. Step 6: Final answer
    x = 166.48

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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.