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Finding the Fourth Proportional to 181.86, 272.91 and 136.29

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Solution

The fourth proportional to 181.86, 272.91 and 136.29 is: 204.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.86 : 272.91 = 136.29 : x
  2. Step 2: Convert to fraction form
    181.86/272.91 = 136.29/x
  3. Step 3: Cross multiply
    181.86x = 272.91 × 136.29
  4. Step 4: Simplify right side
    181.86x = 37,194.90
  5. Step 5: Solve for x
    x = 37,194.90/181.86
  6. Step 6: Final answer
    x = 204.52

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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.