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Finding the Fourth Proportional to 150.08, 225.16 and 134

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Solution

The fourth proportional to 150.08, 225.16 and 134 is: 201.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.08 : 225.16 = 134 : x
  2. Step 2: Convert to fraction form
    150.08/225.16 = 134/x
  3. Step 3: Cross multiply
    150.08x = 225.16 × 134
  4. Step 4: Simplify right side
    150.08x = 30,171.44
  5. Step 5: Solve for x
    x = 30,171.44/150.08
  6. Step 6: Final answer
    x = 201.04

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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.