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Finding the Fourth Proportional to 207.55, 286.64 and 170.97

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Solution

The fourth proportional to 207.55, 286.64 and 170.97 is: 236.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.55 : 286.64 = 170.97 : x
  2. Step 2: Convert to fraction form
    207.55/286.64 = 170.97/x
  3. Step 3: Cross multiply
    207.55x = 286.64 × 170.97
  4. Step 4: Simplify right side
    207.55x = 49,006.84
  5. Step 5: Solve for x
    x = 49,006.84/207.55
  6. Step 6: Final answer
    x = 236.12

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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.