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Finding the Fourth Proportional to 201.96, 278.46 and 178.74

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Solution

The fourth proportional to 201.96, 278.46 and 178.74 is: 246.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.96 : 278.46 = 178.74 : x
  2. Step 2: Convert to fraction form
    201.96/278.46 = 178.74/x
  3. Step 3: Cross multiply
    201.96x = 278.46 × 178.74
  4. Step 4: Simplify right side
    201.96x = 49,771.94
  5. Step 5: Solve for x
    x = 49,771.94/201.96
  6. Step 6: Final answer
    x = 246.44

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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.