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Finding the Fourth Proportional to 172.82, 238.41 and 160.47

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Solution

The fourth proportional to 172.82, 238.41 and 160.47 is: 221.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.82 : 238.41 = 160.47 : x
  2. Step 2: Convert to fraction form
    172.82/238.41 = 160.47/x
  3. Step 3: Cross multiply
    172.82x = 238.41 × 160.47
  4. Step 4: Simplify right side
    172.82x = 38,257.65
  5. Step 5: Solve for x
    x = 38,257.65/172.82
  6. Step 6: Final answer
    x = 221.37

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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.