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Finding the Fourth Proportional to 180.49, 270.48 and 82.74

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Solution

The fourth proportional to 180.49, 270.48 and 82.74 is: 123.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.49 : 270.48 = 82.74 : x
  2. Step 2: Convert to fraction form
    180.49/270.48 = 82.74/x
  3. Step 3: Cross multiply
    180.49x = 270.48 × 82.74
  4. Step 4: Simplify right side
    180.49x = 22,379.52
  5. Step 5: Solve for x
    x = 22,379.52/180.49
  6. Step 6: Final answer
    x = 123.99

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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.