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Finding the Fourth Proportional to 180.20, 270.33 and 93.30

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Solution

The fourth proportional to 180.20, 270.33 and 93.30 is: 139.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.20 : 270.33 = 93.30 : x
  2. Step 2: Convert to fraction form
    180.20/270.33 = 93.30/x
  3. Step 3: Cross multiply
    180.20x = 270.33 × 93.30
  4. Step 4: Simplify right side
    180.20x = 25,220.43
  5. Step 5: Solve for x
    x = 25,220.43/180.20
  6. Step 6: Final answer
    x = 139.96

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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.