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Finding the Fourth Proportional to 171.56, 236.98 and 127.82

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Solution

The fourth proportional to 171.56, 236.98 and 127.82 is: 176.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.56 : 236.98 = 127.82 : x
  2. Step 2: Convert to fraction form
    171.56/236.98 = 127.82/x
  3. Step 3: Cross multiply
    171.56x = 236.98 × 127.82
  4. Step 4: Simplify right side
    171.56x = 30,290.78
  5. Step 5: Solve for x
    x = 30,290.78/171.56
  6. Step 6: Final answer
    x = 176.56

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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.