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Finding the Fourth Proportional to 386.88, 580.06 and 181.44

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Solution

The fourth proportional to 386.88, 580.06 and 181.44 is: 272.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.88 : 580.06 = 181.44 : x
  2. Step 2: Convert to fraction form
    386.88/580.06 = 181.44/x
  3. Step 3: Cross multiply
    386.88x = 580.06 × 181.44
  4. Step 4: Simplify right side
    386.88x = 105,246.31
  5. Step 5: Solve for x
    x = 105,246.31/386.88
  6. Step 6: Final answer
    x = 272.04

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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.