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Finding the Fourth Proportional to 182.24, 273.04 and 130.72

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Solution

The fourth proportional to 182.24, 273.04 and 130.72 is: 195.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.24 : 273.04 = 130.72 : x
  2. Step 2: Convert to fraction form
    182.24/273.04 = 130.72/x
  3. Step 3: Cross multiply
    182.24x = 273.04 × 130.72
  4. Step 4: Simplify right side
    182.24x = 35,691.79
  5. Step 5: Solve for x
    x = 35,691.79/182.24
  6. Step 6: Final answer
    x = 195.85

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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.