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Finding the Fourth Proportional to 150.96, 225.79 and 132.00

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Solution

The fourth proportional to 150.96, 225.79 and 132.00 is: 197.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.96 : 225.79 = 132.00 : x
  2. Step 2: Convert to fraction form
    150.96/225.79 = 132.00/x
  3. Step 3: Cross multiply
    150.96x = 225.79 × 132.00
  4. Step 4: Simplify right side
    150.96x = 29,804.00
  5. Step 5: Solve for x
    x = 29,804.00/150.96
  6. Step 6: Final answer
    x = 197.42

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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.