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Finding the Fourth Proportional to 201.60, 278.10 and 163.80

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Solution

The fourth proportional to 201.60, 278.10 and 163.80 is: 225.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.60 : 278.10 = 163.80 : x
  2. Step 2: Convert to fraction form
    201.60/278.10 = 163.80/x
  3. Step 3: Cross multiply
    201.60x = 278.10 × 163.80
  4. Step 4: Simplify right side
    201.60x = 45,552.78
  5. Step 5: Solve for x
    x = 45,552.78/201.60
  6. Step 6: Final answer
    x = 225.96

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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.