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Finding the Fourth Proportional to 180.25, 270.39 and 140.29

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Solution

The fourth proportional to 180.25, 270.39 and 140.29 is: 210.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.25 : 270.39 = 140.29 : x
  2. Step 2: Convert to fraction form
    180.25/270.39 = 140.29/x
  3. Step 3: Cross multiply
    180.25x = 270.39 × 140.29
  4. Step 4: Simplify right side
    180.25x = 37,933.01
  5. Step 5: Solve for x
    x = 37,933.01/180.25
  6. Step 6: Final answer
    x = 210.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.