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Finding the Fourth Proportional to 180.03, 269.93 and 77.27

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Solution

The fourth proportional to 180.03, 269.93 and 77.27 is: 115.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.03 : 269.93 = 77.27 : x
  2. Step 2: Convert to fraction form
    180.03/269.93 = 77.27/x
  3. Step 3: Cross multiply
    180.03x = 269.93 × 77.27
  4. Step 4: Simplify right side
    180.03x = 20,855.76
  5. Step 5: Solve for x
    x = 20,855.76/180.03
  6. Step 6: Final answer
    x = 115.85

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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.