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Finding the Fourth Proportional to 386.89, 580.05 and 181.34

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Solution

The fourth proportional to 386.89, 580.05 and 181.34 is: 271.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.89 : 580.05 = 181.34 : x
  2. Step 2: Convert to fraction form
    386.89/580.05 = 181.34/x
  3. Step 3: Cross multiply
    386.89x = 580.05 × 181.34
  4. Step 4: Simplify right side
    386.89x = 105,186.27
  5. Step 5: Solve for x
    x = 105,186.27/386.89
  6. Step 6: Final answer
    x = 271.88

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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.