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Finding the Fourth Proportional to 180.57, 270.80 and 77.79

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Solution

The fourth proportional to 180.57, 270.80 and 77.79 is: 116.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.57 : 270.80 = 77.79 : x
  2. Step 2: Convert to fraction form
    180.57/270.80 = 77.79/x
  3. Step 3: Cross multiply
    180.57x = 270.80 × 77.79
  4. Step 4: Simplify right side
    180.57x = 21,065.14
  5. Step 5: Solve for x
    x = 21,065.14/180.57
  6. Step 6: Final answer
    x = 116.66

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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.