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Finding the Fourth Proportional to 178.99, 246.99 and 134.77

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Solution

The fourth proportional to 178.99, 246.99 and 134.77 is: 185.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.99 : 246.99 = 134.77 : x
  2. Step 2: Convert to fraction form
    178.99/246.99 = 134.77/x
  3. Step 3: Cross multiply
    178.99x = 246.99 × 134.77
  4. Step 4: Simplify right side
    178.99x = 33,286.84
  5. Step 5: Solve for x
    x = 33,286.84/178.99
  6. Step 6: Final answer
    x = 185.97

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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.