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Finding the Fourth Proportional to 207.96, 287.04 and 120.65

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Solution

The fourth proportional to 207.96, 287.04 and 120.65 is: 166.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.96 : 287.04 = 120.65 : x
  2. Step 2: Convert to fraction form
    207.96/287.04 = 120.65/x
  3. Step 3: Cross multiply
    207.96x = 287.04 × 120.65
  4. Step 4: Simplify right side
    207.96x = 34,629.94
  5. Step 5: Solve for x
    x = 34,629.94/207.96
  6. Step 6: Final answer
    x = 166.52

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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.