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Finding the Fourth Proportional to 179.29, 268.75 and 76.49

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Solution

The fourth proportional to 179.29, 268.75 and 76.49 is: 114.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.29 : 268.75 = 76.49 : x
  2. Step 2: Convert to fraction form
    179.29/268.75 = 76.49/x
  3. Step 3: Cross multiply
    179.29x = 268.75 × 76.49
  4. Step 4: Simplify right side
    179.29x = 20,555.15
  5. Step 5: Solve for x
    x = 20,555.15/179.29
  6. Step 6: Final answer
    x = 114.65

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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.