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Finding the Fourth Proportional to 181.44, 272.32 and 133.20

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Solution

The fourth proportional to 181.44, 272.32 and 133.20 is: 199.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.44 : 272.32 = 133.20 : x
  2. Step 2: Convert to fraction form
    181.44/272.32 = 133.20/x
  3. Step 3: Cross multiply
    181.44x = 272.32 × 133.20
  4. Step 4: Simplify right side
    181.44x = 36,273.02
  5. Step 5: Solve for x
    x = 36,273.02/181.44
  6. Step 6: Final answer
    x = 199.92

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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.