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Finding the Fourth Proportional to 207.84, 286.82 and 120.49

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Solution

The fourth proportional to 207.84, 286.82 and 120.49 is: 166.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.84 : 286.82 = 120.49 : x
  2. Step 2: Convert to fraction form
    207.84/286.82 = 120.49/x
  3. Step 3: Cross multiply
    207.84x = 286.82 × 120.49
  4. Step 4: Simplify right side
    207.84x = 34,558.94
  5. Step 5: Solve for x
    x = 34,558.94/207.84
  6. Step 6: Final answer
    x = 166.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.