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Finding the Fourth Proportional to 172.21, 237.48 and 142.80

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Solution

The fourth proportional to 172.21, 237.48 and 142.80 is: 196.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.21 : 237.48 = 142.80 : x
  2. Step 2: Convert to fraction form
    172.21/237.48 = 142.80/x
  3. Step 3: Cross multiply
    172.21x = 237.48 × 142.80
  4. Step 4: Simplify right side
    172.21x = 33,912.14
  5. Step 5: Solve for x
    x = 33,912.14/172.21
  6. Step 6: Final answer
    x = 196.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.