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Finding the Fourth Proportional to 207.41, 286.22 and 120.08

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Solution

The fourth proportional to 207.41, 286.22 and 120.08 is: 165.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.41 : 286.22 = 120.08 : x
  2. Step 2: Convert to fraction form
    207.41/286.22 = 120.08/x
  3. Step 3: Cross multiply
    207.41x = 286.22 × 120.08
  4. Step 4: Simplify right side
    207.41x = 34,369.30
  5. Step 5: Solve for x
    x = 34,369.30/207.41
  6. Step 6: Final answer
    x = 165.71

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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.