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Finding the Fourth Proportional to 182.16, 273.24 and 133.47

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Solution

The fourth proportional to 182.16, 273.24 and 133.47 is: 200.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.16 : 273.24 = 133.47 : x
  2. Step 2: Convert to fraction form
    182.16/273.24 = 133.47/x
  3. Step 3: Cross multiply
    182.16x = 273.24 × 133.47
  4. Step 4: Simplify right side
    182.16x = 36,469.34
  5. Step 5: Solve for x
    x = 36,469.34/182.16
  6. Step 6: Final answer
    x = 200.21

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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.