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Finding the Fourth Proportional to 180.23, 270.42 and 82.78

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Solution

The fourth proportional to 180.23, 270.42 and 82.78 is: 124.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.23 : 270.42 = 82.78 : x
  2. Step 2: Convert to fraction form
    180.23/270.42 = 82.78/x
  3. Step 3: Cross multiply
    180.23x = 270.42 × 82.78
  4. Step 4: Simplify right side
    180.23x = 22,384.02
  5. Step 5: Solve for x
    x = 22,384.02/180.23
  6. Step 6: Final answer
    x = 124.20

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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.