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Finding the Fourth Proportional to 208.77, 313.77 and 137.09

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Solution

The fourth proportional to 208.77, 313.77 and 137.09 is: 206.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.77 : 313.77 = 137.09 : x
  2. Step 2: Convert to fraction form
    208.77/313.77 = 137.09/x
  3. Step 3: Cross multiply
    208.77x = 313.77 × 137.09
  4. Step 4: Simplify right side
    208.77x = 43,013.16
  5. Step 5: Solve for x
    x = 43,013.16/208.77
  6. Step 6: Final answer
    x = 206.03

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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.