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Finding the Fourth Proportional to 207.84, 286.73 and 134.17

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Solution

The fourth proportional to 207.84, 286.73 and 134.17 is: 185.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.84 : 286.73 = 134.17 : x
  2. Step 2: Convert to fraction form
    207.84/286.73 = 134.17/x
  3. Step 3: Cross multiply
    207.84x = 286.73 × 134.17
  4. Step 4: Simplify right side
    207.84x = 38,469.18
  5. Step 5: Solve for x
    x = 38,469.18/207.84
  6. Step 6: Final answer
    x = 185.09

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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.