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Finding the Fourth Proportional to 180, 270.40 and 139.30

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Solution

The fourth proportional to 180, 270.40 and 139.30 is: 209.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    180 : 270.40 = 139.30 : x
  2. Step 2: Convert to fraction form
    180/270.40 = 139.30/x
  3. Step 3: Cross multiply
    180x = 270.40 × 139.30
  4. Step 4: Simplify right side
    180x = 37,666.72
  5. Step 5: Solve for x
    x = 37,666.72/180
  6. Step 6: Final answer
    x = 209.26

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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.