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Finding the Fourth Proportional to 179.53, 270.67 and 169.09

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Solution

The fourth proportional to 179.53, 270.67 and 169.09 is: 254.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.53 : 270.67 = 169.09 : x
  2. Step 2: Convert to fraction form
    179.53/270.67 = 169.09/x
  3. Step 3: Cross multiply
    179.53x = 270.67 × 169.09
  4. Step 4: Simplify right side
    179.53x = 45,767.59
  5. Step 5: Solve for x
    x = 45,767.59/179.53
  6. Step 6: Final answer
    x = 254.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.