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Finding the Fourth Proportional to 207.92, 287.16 and 161.84

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Solution

The fourth proportional to 207.92, 287.16 and 161.84 is: 223.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.92 : 287.16 = 161.84 : x
  2. Step 2: Convert to fraction form
    207.92/287.16 = 161.84/x
  3. Step 3: Cross multiply
    207.92x = 287.16 × 161.84
  4. Step 4: Simplify right side
    207.92x = 46,473.17
  5. Step 5: Solve for x
    x = 46,473.17/207.92
  6. Step 6: Final answer
    x = 223.52

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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.