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Finding the Fourth Proportional to 208.50, 312.78 and 185.82

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Solution

The fourth proportional to 208.50, 312.78 and 185.82 is: 278.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.50 : 312.78 = 185.82 : x
  2. Step 2: Convert to fraction form
    208.50/312.78 = 185.82/x
  3. Step 3: Cross multiply
    208.50x = 312.78 × 185.82
  4. Step 4: Simplify right side
    208.50x = 58,120.78
  5. Step 5: Solve for x
    x = 58,120.78/208.50
  6. Step 6: Final answer
    x = 278.76

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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.