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Finding the Fourth Proportional to 181.41, 270.84 and 180.12

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Solution

The fourth proportional to 181.41, 270.84 and 180.12 is: 268.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.41 : 270.84 = 180.12 : x
  2. Step 2: Convert to fraction form
    181.41/270.84 = 180.12/x
  3. Step 3: Cross multiply
    181.41x = 270.84 × 180.12
  4. Step 4: Simplify right side
    181.41x = 48,785.39
  5. Step 5: Solve for x
    x = 48,785.39/181.41
  6. Step 6: Final answer
    x = 268.93

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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.