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Finding the Fourth Proportional to 207.31, 286.11 and 137.25

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Solution

The fourth proportional to 207.31, 286.11 and 137.25 is: 189.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.31 : 286.11 = 137.25 : x
  2. Step 2: Convert to fraction form
    207.31/286.11 = 137.25/x
  3. Step 3: Cross multiply
    207.31x = 286.11 × 137.25
  4. Step 4: Simplify right side
    207.31x = 39,267.91
  5. Step 5: Solve for x
    x = 39,267.91/207.31
  6. Step 6: Final answer
    x = 189.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.