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Finding the Fourth Proportional to 182.20, 255.80 and 182.20

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Solution

The fourth proportional to 182.20, 255.80 and 182.20 is: 255.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.20 : 255.80 = 182.20 : x
  2. Step 2: Convert to fraction form
    182.20/255.80 = 182.20/x
  3. Step 3: Cross multiply
    182.20x = 255.80 × 182.20
  4. Step 4: Simplify right side
    182.20x = 46,606.76
  5. Step 5: Solve for x
    x = 46,606.76/182.20
  6. Step 6: Final answer
    x = 255.80

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.