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Finding the Fourth Proportional to 181.96, 251.08 and 116.44

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Solution

The fourth proportional to 181.96, 251.08 and 116.44 is: 160.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.96 : 251.08 = 116.44 : x
  2. Step 2: Convert to fraction form
    181.96/251.08 = 116.44/x
  3. Step 3: Cross multiply
    181.96x = 251.08 × 116.44
  4. Step 4: Simplify right side
    181.96x = 29,235.76
  5. Step 5: Solve for x
    x = 29,235.76/181.96
  6. Step 6: Final answer
    x = 160.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.