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Finding the Fourth Proportional to 149.92, 225.06 and 134.08

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Solution

The fourth proportional to 149.92, 225.06 and 134.08 is: 201.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.92 : 225.06 = 134.08 : x
  2. Step 2: Convert to fraction form
    149.92/225.06 = 134.08/x
  3. Step 3: Cross multiply
    149.92x = 225.06 × 134.08
  4. Step 4: Simplify right side
    149.92x = 30,176.04
  5. Step 5: Solve for x
    x = 30,176.04/149.92
  6. Step 6: Final answer
    x = 201.28

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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.