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Finding the Fourth Proportional to 180.78, 269.88 and 168.81

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Solution

The fourth proportional to 180.78, 269.88 and 168.81 is: 252.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.78 : 269.88 = 168.81 : x
  2. Step 2: Convert to fraction form
    180.78/269.88 = 168.81/x
  3. Step 3: Cross multiply
    180.78x = 269.88 × 168.81
  4. Step 4: Simplify right side
    180.78x = 45,558.44
  5. Step 5: Solve for x
    x = 45,558.44/180.78
  6. Step 6: Final answer
    x = 252.01

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.