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Finding the Fourth Proportional to 201.75, 302.28 and 178.80

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Solution

The fourth proportional to 201.75, 302.28 and 178.80 is: 267.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.75 : 302.28 = 178.80 : x
  2. Step 2: Convert to fraction form
    201.75/302.28 = 178.80/x
  3. Step 3: Cross multiply
    201.75x = 302.28 × 178.80
  4. Step 4: Simplify right side
    201.75x = 54,047.66
  5. Step 5: Solve for x
    x = 54,047.66/201.75
  6. Step 6: Final answer
    x = 267.89

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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.