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Finding the Fourth Proportional to 207.71, 286.59 and 137.79

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Solution

The fourth proportional to 207.71, 286.59 and 137.79 is: 190.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.71 : 286.59 = 137.79 : x
  2. Step 2: Convert to fraction form
    207.71/286.59 = 137.79/x
  3. Step 3: Cross multiply
    207.71x = 286.59 × 137.79
  4. Step 4: Simplify right side
    207.71x = 39,489.24
  5. Step 5: Solve for x
    x = 39,489.24/207.71
  6. Step 6: Final answer
    x = 190.12

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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.