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Finding the Fourth Proportional to 208.82, 312.87 and 187.40

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Solution

The fourth proportional to 208.82, 312.87 and 187.40 is: 280.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.82 : 312.87 = 187.40 : x
  2. Step 2: Convert to fraction form
    208.82/312.87 = 187.40/x
  3. Step 3: Cross multiply
    208.82x = 312.87 × 187.40
  4. Step 4: Simplify right side
    208.82x = 58,631.84
  5. Step 5: Solve for x
    x = 58,631.84/208.82
  6. Step 6: Final answer
    x = 280.78

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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.