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Finding the Fourth Proportional to 185.46, 276.63 and 179.69

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Solution

The fourth proportional to 185.46, 276.63 and 179.69 is: 268.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.46 : 276.63 = 179.69 : x
  2. Step 2: Convert to fraction form
    185.46/276.63 = 179.69/x
  3. Step 3: Cross multiply
    185.46x = 276.63 × 179.69
  4. Step 4: Simplify right side
    185.46x = 49,705.59
  5. Step 5: Solve for x
    x = 49,705.59/185.46
  6. Step 6: Final answer
    x = 268.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.