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Finding the Fourth Proportional to 208.97, 313.56 and 131.92

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Solution

The fourth proportional to 208.97, 313.56 and 131.92 is: 197.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.97 : 313.56 = 131.92 : x
  2. Step 2: Convert to fraction form
    208.97/313.56 = 131.92/x
  3. Step 3: Cross multiply
    208.97x = 313.56 × 131.92
  4. Step 4: Simplify right side
    208.97x = 41,364.84
  5. Step 5: Solve for x
    x = 41,364.84/208.97
  6. Step 6: Final answer
    x = 197.95

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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.