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Finding the Fourth Proportional to 207.61, 286.33 and 137.56

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Solution

The fourth proportional to 207.61, 286.33 and 137.56 is: 189.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.61 : 286.33 = 137.56 : x
  2. Step 2: Convert to fraction form
    207.61/286.33 = 137.56/x
  3. Step 3: Cross multiply
    207.61x = 286.33 × 137.56
  4. Step 4: Simplify right side
    207.61x = 39,387.55
  5. Step 5: Solve for x
    x = 39,387.55/207.61
  6. Step 6: Final answer
    x = 189.72

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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.