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Finding the Fourth Proportional to 181.69, 250.59 and 116.20

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Solution

The fourth proportional to 181.69, 250.59 and 116.20 is: 160.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.69 : 250.59 = 116.20 : x
  2. Step 2: Convert to fraction form
    181.69/250.59 = 116.20/x
  3. Step 3: Cross multiply
    181.69x = 250.59 × 116.20
  4. Step 4: Simplify right side
    181.69x = 29,118.56
  5. Step 5: Solve for x
    x = 29,118.56/181.69
  6. Step 6: Final answer
    x = 160.27

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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.