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Finding the Fourth Proportional to 201.55, 302.46 and 140.80

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Solution

The fourth proportional to 201.55, 302.46 and 140.80 is: 211.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.55 : 302.46 = 140.80 : x
  2. Step 2: Convert to fraction form
    201.55/302.46 = 140.80/x
  3. Step 3: Cross multiply
    201.55x = 302.46 × 140.80
  4. Step 4: Simplify right side
    201.55x = 42,586.37
  5. Step 5: Solve for x
    x = 42,586.37/201.55
  6. Step 6: Final answer
    x = 211.29

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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.