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Finding the Fourth Proportional to 181.79, 270.49 and 181.18

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Solution

The fourth proportional to 181.79, 270.49 and 181.18 is: 269.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.79 : 270.49 = 181.18 : x
  2. Step 2: Convert to fraction form
    181.79/270.49 = 181.18/x
  3. Step 3: Cross multiply
    181.79x = 270.49 × 181.18
  4. Step 4: Simplify right side
    181.79x = 49,007.38
  5. Step 5: Solve for x
    x = 49,007.38/181.79
  6. Step 6: Final answer
    x = 269.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.