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Finding the Fourth Proportional to 182.65, 273.96 and 146.80

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Solution

The fourth proportional to 182.65, 273.96 and 146.80 is: 220.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.65 : 273.96 = 146.80 : x
  2. Step 2: Convert to fraction form
    182.65/273.96 = 146.80/x
  3. Step 3: Cross multiply
    182.65x = 273.96 × 146.80
  4. Step 4: Simplify right side
    182.65x = 40,217.33
  5. Step 5: Solve for x
    x = 40,217.33/182.65
  6. Step 6: Final answer
    x = 220.19

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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.