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Finding the Fourth Proportional to 180.08, 269.12 and 161.84

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Solution

The fourth proportional to 180.08, 269.12 and 161.84 is: 241.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.08 : 269.12 = 161.84 : x
  2. Step 2: Convert to fraction form
    180.08/269.12 = 161.84/x
  3. Step 3: Cross multiply
    180.08x = 269.12 × 161.84
  4. Step 4: Simplify right side
    180.08x = 43,554.38
  5. Step 5: Solve for x
    x = 43,554.38/180.08
  6. Step 6: Final answer
    x = 241.86

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Why These Related Problems?

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