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Finding the Fourth Proportional to 201.70, 278.04 and 168.94

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Solution

The fourth proportional to 201.70, 278.04 and 168.94 is: 232.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.70 : 278.04 = 168.94 : x
  2. Step 2: Convert to fraction form
    201.70/278.04 = 168.94/x
  3. Step 3: Cross multiply
    201.70x = 278.04 × 168.94
  4. Step 4: Simplify right side
    201.70x = 46,972.08
  5. Step 5: Solve for x
    x = 46,972.08/201.70
  6. Step 6: Final answer
    x = 232.88

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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.