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Finding the Fourth Proportional to 201.96, 278.22 and 169.40

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Solution

The fourth proportional to 201.96, 278.22 and 169.40 is: 233.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.96 : 278.22 = 169.40 : x
  2. Step 2: Convert to fraction form
    201.96/278.22 = 169.40/x
  3. Step 3: Cross multiply
    201.96x = 278.22 × 169.40
  4. Step 4: Simplify right side
    201.96x = 47,130.47
  5. Step 5: Solve for x
    x = 47,130.47/201.96
  6. Step 6: Final answer
    x = 233.37

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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.