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Finding the Fourth Proportional to 386.58, 580.06 and 181.12

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Solution

The fourth proportional to 386.58, 580.06 and 181.12 is: 271.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.58 : 580.06 = 181.12 : x
  2. Step 2: Convert to fraction form
    386.58/580.06 = 181.12/x
  3. Step 3: Cross multiply
    386.58x = 580.06 × 181.12
  4. Step 4: Simplify right side
    386.58x = 105,060.33
  5. Step 5: Solve for x
    x = 105,060.33/386.58
  6. Step 6: Final answer
    x = 271.77

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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.