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Finding the Fourth Proportional to 255.67, 352.68 and 182.09

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Solution

The fourth proportional to 255.67, 352.68 and 182.09 is: 251.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.67 : 352.68 = 182.09 : x
  2. Step 2: Convert to fraction form
    255.67/352.68 = 182.09/x
  3. Step 3: Cross multiply
    255.67x = 352.68 × 182.09
  4. Step 4: Simplify right side
    255.67x = 64,219.50
  5. Step 5: Solve for x
    x = 64,219.50/255.67
  6. Step 6: Final answer
    x = 251.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.