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Finding the Fourth Proportional to 201.80, 302.46 and 133.46

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Solution

The fourth proportional to 201.80, 302.46 and 133.46 is: 200.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.80 : 302.46 = 133.46 : x
  2. Step 2: Convert to fraction form
    201.80/302.46 = 133.46/x
  3. Step 3: Cross multiply
    201.80x = 302.46 × 133.46
  4. Step 4: Simplify right side
    201.80x = 40,366.31
  5. Step 5: Solve for x
    x = 40,366.31/201.80
  6. Step 6: Final answer
    x = 200.03

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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.