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Finding the Fourth Proportional to 179.81, 269.60 and 77.03

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Solution

The fourth proportional to 179.81, 269.60 and 77.03 is: 115.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.81 : 269.60 = 77.03 : x
  2. Step 2: Convert to fraction form
    179.81/269.60 = 77.03/x
  3. Step 3: Cross multiply
    179.81x = 269.60 × 77.03
  4. Step 4: Simplify right side
    179.81x = 20,765.55
  5. Step 5: Solve for x
    x = 20,765.55/179.81
  6. Step 6: Final answer
    x = 115.49

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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.