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Finding the Fourth Proportional to 201.88, 302.17 and 109.20

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Solution

The fourth proportional to 201.88, 302.17 and 109.20 is: 163.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.88 : 302.17 = 109.20 : x
  2. Step 2: Convert to fraction form
    201.88/302.17 = 109.20/x
  3. Step 3: Cross multiply
    201.88x = 302.17 × 109.20
  4. Step 4: Simplify right side
    201.88x = 32,996.42
  5. Step 5: Solve for x
    x = 32,996.42/201.88
  6. Step 6: Final answer
    x = 163.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.