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Finding the Fourth Proportional to 182.16, 273.24 and 100.96

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Solution

The fourth proportional to 182.16, 273.24 and 100.96 is: 151.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.16 : 273.24 = 100.96 : x
  2. Step 2: Convert to fraction form
    182.16/273.24 = 100.96/x
  3. Step 3: Cross multiply
    182.16x = 273.24 × 100.96
  4. Step 4: Simplify right side
    182.16x = 27,586.31
  5. Step 5: Solve for x
    x = 27,586.31/182.16
  6. Step 6: Final answer
    x = 151.44

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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.