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Finding the Fourth Proportional to 201.94, 302.82 and 80.08

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Solution

The fourth proportional to 201.94, 302.82 and 80.08 is: 120.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.94 : 302.82 = 80.08 : x
  2. Step 2: Convert to fraction form
    201.94/302.82 = 80.08/x
  3. Step 3: Cross multiply
    201.94x = 302.82 × 80.08
  4. Step 4: Simplify right side
    201.94x = 24,249.83
  5. Step 5: Solve for x
    x = 24,249.83/201.94
  6. Step 6: Final answer
    x = 120.08

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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.