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Finding the Fourth Proportional to 181.74, 272.03 and 113.33

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Solution

The fourth proportional to 181.74, 272.03 and 113.33 is: 169.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.74 : 272.03 = 113.33 : x
  2. Step 2: Convert to fraction form
    181.74/272.03 = 113.33/x
  3. Step 3: Cross multiply
    181.74x = 272.03 × 113.33
  4. Step 4: Simplify right side
    181.74x = 30,827.23
  5. Step 5: Solve for x
    x = 30,827.23/181.74
  6. Step 6: Final answer
    x = 169.62

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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.