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Finding the Fourth Proportional to 201.94, 303 and 109.40

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Solution

The fourth proportional to 201.94, 303 and 109.40 is: 164.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.94 : 303 = 109.40 : x
  2. Step 2: Convert to fraction form
    201.94/303 = 109.40/x
  3. Step 3: Cross multiply
    201.94x = 303 × 109.40
  4. Step 4: Simplify right side
    201.94x = 33,148.20
  5. Step 5: Solve for x
    x = 33,148.20/201.94
  6. Step 6: Final answer
    x = 164.15

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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.