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Finding the Fourth Proportional to 207.82, 286.75 and 120.45

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Solution

The fourth proportional to 207.82, 286.75 and 120.45 is: 166.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.82 : 286.75 = 120.45 : x
  2. Step 2: Convert to fraction form
    207.82/286.75 = 120.45/x
  3. Step 3: Cross multiply
    207.82x = 286.75 × 120.45
  4. Step 4: Simplify right side
    207.82x = 34,537.84
  5. Step 5: Solve for x
    x = 34,537.84/207.82
  6. Step 6: Final answer
    x = 166.19

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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.