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Finding the Fourth Proportional to 179.39, 268.97 and 76.64

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Solution

The fourth proportional to 179.39, 268.97 and 76.64 is: 114.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.39 : 268.97 = 76.64 : x
  2. Step 2: Convert to fraction form
    179.39/268.97 = 76.64/x
  3. Step 3: Cross multiply
    179.39x = 268.97 × 76.64
  4. Step 4: Simplify right side
    179.39x = 20,614.15
  5. Step 5: Solve for x
    x = 20,614.15/179.39
  6. Step 6: Final answer
    x = 114.91

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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.