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Finding the Fourth Proportional to 201.84, 304.12 and 166.56

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Solution

The fourth proportional to 201.84, 304.12 and 166.56 is: 250.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.84 : 304.12 = 166.56 : x
  2. Step 2: Convert to fraction form
    201.84/304.12 = 166.56/x
  3. Step 3: Cross multiply
    201.84x = 304.12 × 166.56
  4. Step 4: Simplify right side
    201.84x = 50,654.23
  5. Step 5: Solve for x
    x = 50,654.23/201.84
  6. Step 6: Final answer
    x = 250.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.