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Finding the Fourth Proportional to 207.92, 286.89 and 134.23

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Solution

The fourth proportional to 207.92, 286.89 and 134.23 is: 185.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.92 : 286.89 = 134.23 : x
  2. Step 2: Convert to fraction form
    207.92/286.89 = 134.23/x
  3. Step 3: Cross multiply
    207.92x = 286.89 × 134.23
  4. Step 4: Simplify right side
    207.92x = 38,507.81
  5. Step 5: Solve for x
    x = 38,507.81/207.92
  6. Step 6: Final answer
    x = 185.20

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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.