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Finding the Fourth Proportional to 207.50, 286.44 and 137.66

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Solution

The fourth proportional to 207.50, 286.44 and 137.66 is: 190.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.50 : 286.44 = 137.66 : x
  2. Step 2: Convert to fraction form
    207.50/286.44 = 137.66/x
  3. Step 3: Cross multiply
    207.50x = 286.44 × 137.66
  4. Step 4: Simplify right side
    207.50x = 39,431.33
  5. Step 5: Solve for x
    x = 39,431.33/207.50
  6. Step 6: Final answer
    x = 190.03

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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.