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Finding the Fourth Proportional to 441.67, 662.52 and 133.57

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Solution

The fourth proportional to 441.67, 662.52 and 133.57 is: 200.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.67 : 662.52 = 133.57 : x
  2. Step 2: Convert to fraction form
    441.67/662.52 = 133.57/x
  3. Step 3: Cross multiply
    441.67x = 662.52 × 133.57
  4. Step 4: Simplify right side
    441.67x = 88,490.40
  5. Step 5: Solve for x
    x = 88,490.40/441.67
  6. Step 6: Final answer
    x = 200.35

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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.