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Finding the Fourth Proportional to 255.93, 352.67 and 182.04

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Solution

The fourth proportional to 255.93, 352.67 and 182.04 is: 250.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.93 : 352.67 = 182.04 : x
  2. Step 2: Convert to fraction form
    255.93/352.67 = 182.04/x
  3. Step 3: Cross multiply
    255.93x = 352.67 × 182.04
  4. Step 4: Simplify right side
    255.93x = 64,200.05
  5. Step 5: Solve for x
    x = 64,200.05/255.93
  6. Step 6: Final answer
    x = 250.85

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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.