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Finding the Fourth Proportional to 201.32, 299.96 and 179.75

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Solution

The fourth proportional to 201.32, 299.96 and 179.75 is: 267.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.32 : 299.96 = 179.75 : x
  2. Step 2: Convert to fraction form
    201.32/299.96 = 179.75/x
  3. Step 3: Cross multiply
    201.32x = 299.96 × 179.75
  4. Step 4: Simplify right side
    201.32x = 53,915.41
  5. Step 5: Solve for x
    x = 53,915.41/201.32
  6. Step 6: Final answer
    x = 267.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.