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Finding the Fourth Proportional to 178.44, 246.35 and 134.97

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Solution

The fourth proportional to 178.44, 246.35 and 134.97 is: 186.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.44 : 246.35 = 134.97 : x
  2. Step 2: Convert to fraction form
    178.44/246.35 = 134.97/x
  3. Step 3: Cross multiply
    178.44x = 246.35 × 134.97
  4. Step 4: Simplify right side
    178.44x = 33,249.18
  5. Step 5: Solve for x
    x = 33,249.18/178.44
  6. Step 6: Final answer
    x = 186.33

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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.