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Finding the Fourth Proportional to 386.82, 580.10 and 181.26

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Solution

The fourth proportional to 386.82, 580.10 and 181.26 is: 271.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.82 : 580.10 = 181.26 : x
  2. Step 2: Convert to fraction form
    386.82/580.10 = 181.26/x
  3. Step 3: Cross multiply
    386.82x = 580.10 × 181.26
  4. Step 4: Simplify right side
    386.82x = 105,148.02
  5. Step 5: Solve for x
    x = 105,148.02/386.82
  6. Step 6: Final answer
    x = 271.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.