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Finding the Fourth Proportional to 207.63, 286.74 and 166.46

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Solution

The fourth proportional to 207.63, 286.74 and 166.46 is: 229.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.63 : 286.74 = 166.46 : x
  2. Step 2: Convert to fraction form
    207.63/286.74 = 166.46/x
  3. Step 3: Cross multiply
    207.63x = 286.74 × 166.46
  4. Step 4: Simplify right side
    207.63x = 47,729.31
  5. Step 5: Solve for x
    x = 47,729.31/207.63
  6. Step 6: Final answer
    x = 229.88

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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.