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Finding the Fourth Proportional to 182.53, 273.84 and 146.44

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Solution

The fourth proportional to 182.53, 273.84 and 146.44 is: 219.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.53 : 273.84 = 146.44 : x
  2. Step 2: Convert to fraction form
    182.53/273.84 = 146.44/x
  3. Step 3: Cross multiply
    182.53x = 273.84 × 146.44
  4. Step 4: Simplify right side
    182.53x = 40,101.13
  5. Step 5: Solve for x
    x = 40,101.13/182.53
  6. Step 6: Final answer
    x = 219.70

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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.