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Finding the Fourth Proportional to 172.62, 238.41 and 160.20

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Solution

The fourth proportional to 172.62, 238.41 and 160.20 is: 221.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.62 : 238.41 = 160.20 : x
  2. Step 2: Convert to fraction form
    172.62/238.41 = 160.20/x
  3. Step 3: Cross multiply
    172.62x = 238.41 × 160.20
  4. Step 4: Simplify right side
    172.62x = 38,193.28
  5. Step 5: Solve for x
    x = 38,193.28/172.62
  6. Step 6: Final answer
    x = 221.26

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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.