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Finding the Fourth Proportional to 178.80, 246.78 and 162.12

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Solution

The fourth proportional to 178.80, 246.78 and 162.12 is: 223.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.80 : 246.78 = 162.12 : x
  2. Step 2: Convert to fraction form
    178.80/246.78 = 162.12/x
  3. Step 3: Cross multiply
    178.80x = 246.78 × 162.12
  4. Step 4: Simplify right side
    178.80x = 40,007.97
  5. Step 5: Solve for x
    x = 40,007.97/178.80
  6. Step 6: Final answer
    x = 223.76

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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.