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Finding the Fourth Proportional to 441.18, 661.72 and 132.96

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Solution

The fourth proportional to 441.18, 661.72 and 132.96 is: 199.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.18 : 661.72 = 132.96 : x
  2. Step 2: Convert to fraction form
    441.18/661.72 = 132.96/x
  3. Step 3: Cross multiply
    441.18x = 661.72 × 132.96
  4. Step 4: Simplify right side
    441.18x = 87,984.28
  5. Step 5: Solve for x
    x = 87,984.28/441.18
  6. Step 6: Final answer
    x = 199.43

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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.