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Finding the Fourth Proportional to 181.27, 270.26 and 178.03

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Solution

The fourth proportional to 181.27, 270.26 and 178.03 is: 265.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.27 : 270.26 = 178.03 : x
  2. Step 2: Convert to fraction form
    181.27/270.26 = 178.03/x
  3. Step 3: Cross multiply
    181.27x = 270.26 × 178.03
  4. Step 4: Simplify right side
    181.27x = 48,114.39
  5. Step 5: Solve for x
    x = 48,114.39/181.27
  6. Step 6: Final answer
    x = 265.43

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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.