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Finding the Fourth Proportional to 180.39, 271.95 and 169.25

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Solution

The fourth proportional to 180.39, 271.95 and 169.25 is: 255.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.39 : 271.95 = 169.25 : x
  2. Step 2: Convert to fraction form
    180.39/271.95 = 169.25/x
  3. Step 3: Cross multiply
    180.39x = 271.95 × 169.25
  4. Step 4: Simplify right side
    180.39x = 46,027.54
  5. Step 5: Solve for x
    x = 46,027.54/180.39
  6. Step 6: Final answer
    x = 255.16

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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.