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Finding the Fourth Proportional to 178.91, 246.83 and 107.99

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Solution

The fourth proportional to 178.91, 246.83 and 107.99 is: 148.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.91 : 246.83 = 107.99 : x
  2. Step 2: Convert to fraction form
    178.91/246.83 = 107.99/x
  3. Step 3: Cross multiply
    178.91x = 246.83 × 107.99
  4. Step 4: Simplify right side
    178.91x = 26,653.40
  5. Step 5: Solve for x
    x = 26,653.40/178.91
  6. Step 6: Final answer
    x = 148.98

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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.