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Finding the Fourth Proportional to 441.31, 661.88 and 133.09

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Solution

The fourth proportional to 441.31, 661.88 and 133.09 is: 199.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.31 : 661.88 = 133.09 : x
  2. Step 2: Convert to fraction form
    441.31/661.88 = 133.09/x
  3. Step 3: Cross multiply
    441.31x = 661.88 × 133.09
  4. Step 4: Simplify right side
    441.31x = 88,088.42
  5. Step 5: Solve for x
    x = 88,088.42/441.31
  6. Step 6: Final answer
    x = 199.61

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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.