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Finding the Fourth Proportional to 181.56, 250.59 and 116.05

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Solution

The fourth proportional to 181.56, 250.59 and 116.05 is: 160.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.56 : 250.59 = 116.05 : x
  2. Step 2: Convert to fraction form
    181.56/250.59 = 116.05/x
  3. Step 3: Cross multiply
    181.56x = 250.59 × 116.05
  4. Step 4: Simplify right side
    181.56x = 29,080.97
  5. Step 5: Solve for x
    x = 29,080.97/181.56
  6. Step 6: Final answer
    x = 160.17

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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.