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Finding the Fourth Proportional to 172.96, 238.96 and 143.84

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Solution

The fourth proportional to 172.96, 238.96 and 143.84 is: 198.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.96 : 238.96 = 143.84 : x
  2. Step 2: Convert to fraction form
    172.96/238.96 = 143.84/x
  3. Step 3: Cross multiply
    172.96x = 238.96 × 143.84
  4. Step 4: Simplify right side
    172.96x = 34,372.01
  5. Step 5: Solve for x
    x = 34,372.01/172.96
  6. Step 6: Final answer
    x = 198.73

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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.