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Finding the Fourth Proportional to 201.57, 301.95 and 178.80

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Solution

The fourth proportional to 201.57, 301.95 and 178.80 is: 267.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.57 : 301.95 = 178.80 : x
  2. Step 2: Convert to fraction form
    201.57/301.95 = 178.80/x
  3. Step 3: Cross multiply
    201.57x = 301.95 × 178.80
  4. Step 4: Simplify right side
    201.57x = 53,988.66
  5. Step 5: Solve for x
    x = 53,988.66/201.57
  6. Step 6: Final answer
    x = 267.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.