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Finding the Fourth Proportional to 207.54, 286.75 and 167.83

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Solution

The fourth proportional to 207.54, 286.75 and 167.83 is: 231.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.54 : 286.75 = 167.83 : x
  2. Step 2: Convert to fraction form
    207.54/286.75 = 167.83/x
  3. Step 3: Cross multiply
    207.54x = 286.75 × 167.83
  4. Step 4: Simplify right side
    207.54x = 48,123.82
  5. Step 5: Solve for x
    x = 48,123.82/207.54
  6. Step 6: Final answer
    x = 231.88

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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.