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Finding the Fourth Proportional to 181.59, 272.26 and 78.82

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Solution

The fourth proportional to 181.59, 272.26 and 78.82 is: 118.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.59 : 272.26 = 78.82 : x
  2. Step 2: Convert to fraction form
    181.59/272.26 = 78.82/x
  3. Step 3: Cross multiply
    181.59x = 272.26 × 78.82
  4. Step 4: Simplify right side
    181.59x = 21,460.48
  5. Step 5: Solve for x
    x = 21,460.48/181.59
  6. Step 6: Final answer
    x = 118.18

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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.