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Finding the Fourth Proportional to 185.95, 277.83 and 179.57

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Solution

The fourth proportional to 185.95, 277.83 and 179.57 is: 268.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.95 : 277.83 = 179.57 : x
  2. Step 2: Convert to fraction form
    185.95/277.83 = 179.57/x
  3. Step 3: Cross multiply
    185.95x = 277.83 × 179.57
  4. Step 4: Simplify right side
    185.95x = 49,889.04
  5. Step 5: Solve for x
    x = 49,889.04/185.95
  6. Step 6: Final answer
    x = 268.29

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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.