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Finding the Fourth Proportional to 180.50, 246.95 and 179.73

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Solution

The fourth proportional to 180.50, 246.95 and 179.73 is: 245.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.50 : 246.95 = 179.73 : x
  2. Step 2: Convert to fraction form
    180.50/246.95 = 179.73/x
  3. Step 3: Cross multiply
    180.50x = 246.95 × 179.73
  4. Step 4: Simplify right side
    180.50x = 44,384.10
  5. Step 5: Solve for x
    x = 44,384.10/180.50
  6. Step 6: Final answer
    x = 245.90

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.