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Finding the Fourth Proportional to 207.82, 313.27 and 196.03

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Solution

The fourth proportional to 207.82, 313.27 and 196.03 is: 295.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.82 : 313.27 = 196.03 : x
  2. Step 2: Convert to fraction form
    207.82/313.27 = 196.03/x
  3. Step 3: Cross multiply
    207.82x = 313.27 × 196.03
  4. Step 4: Simplify right side
    207.82x = 61,410.32
  5. Step 5: Solve for x
    x = 61,410.32/207.82
  6. Step 6: Final answer
    x = 295.50

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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.