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Finding the Fourth Proportional to 172.14, 237.31 and 127.82

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Solution

The fourth proportional to 172.14, 237.31 and 127.82 is: 176.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.14 : 237.31 = 127.82 : x
  2. Step 2: Convert to fraction form
    172.14/237.31 = 127.82/x
  3. Step 3: Cross multiply
    172.14x = 237.31 × 127.82
  4. Step 4: Simplify right side
    172.14x = 30,331.46
  5. Step 5: Solve for x
    x = 30,331.46/172.14
  6. Step 6: Final answer
    x = 176.20

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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.