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Finding the Fourth Proportional to 201.08, 301.20 and 109.52

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Solution

The fourth proportional to 201.08, 301.20 and 109.52 is: 164.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.08 : 301.20 = 109.52 : x
  2. Step 2: Convert to fraction form
    201.08/301.20 = 109.52/x
  3. Step 3: Cross multiply
    201.08x = 301.20 × 109.52
  4. Step 4: Simplify right side
    201.08x = 32,987.42
  5. Step 5: Solve for x
    x = 32,987.42/201.08
  6. Step 6: Final answer
    x = 164.05

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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.