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Finding the Fourth Proportional to 179.76, 247.86 and 166.80

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Solution

The fourth proportional to 179.76, 247.86 and 166.80 is: 229.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.76 : 247.86 = 166.80 : x
  2. Step 2: Convert to fraction form
    179.76/247.86 = 166.80/x
  3. Step 3: Cross multiply
    179.76x = 247.86 × 166.80
  4. Step 4: Simplify right side
    179.76x = 41,343.05
  5. Step 5: Solve for x
    x = 41,343.05/179.76
  6. Step 6: Final answer
    x = 229.99

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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.