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Finding the Fourth Proportional to 179.24, 268.74 and 76.48

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Solution

The fourth proportional to 179.24, 268.74 and 76.48 is: 114.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.24 : 268.74 = 76.48 : x
  2. Step 2: Convert to fraction form
    179.24/268.74 = 76.48/x
  3. Step 3: Cross multiply
    179.24x = 268.74 × 76.48
  4. Step 4: Simplify right side
    179.24x = 20,553.24
  5. Step 5: Solve for x
    x = 20,553.24/179.24
  6. Step 6: Final answer
    x = 114.67

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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.