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Finding the Fourth Proportional to 207.92, 286.92 and 114.66

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Solution

The fourth proportional to 207.92, 286.92 and 114.66 is: 158.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.92 : 286.92 = 114.66 : x
  2. Step 2: Convert to fraction form
    207.92/286.92 = 114.66/x
  3. Step 3: Cross multiply
    207.92x = 286.92 × 114.66
  4. Step 4: Simplify right side
    207.92x = 32,898.25
  5. Step 5: Solve for x
    x = 32,898.25/207.92
  6. Step 6: Final answer
    x = 158.23

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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.