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Finding the Fourth Proportional to 208.32, 313.99 and 196.56

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Solution

The fourth proportional to 208.32, 313.99 and 196.56 is: 296.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.32 : 313.99 = 196.56 : x
  2. Step 2: Convert to fraction form
    208.32/313.99 = 196.56/x
  3. Step 3: Cross multiply
    208.32x = 313.99 × 196.56
  4. Step 4: Simplify right side
    208.32x = 61,717.87
  5. Step 5: Solve for x
    x = 61,717.87/208.32
  6. Step 6: Final answer
    x = 296.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.