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Finding the Fourth Proportional to 544.13, 816.20 and 133.26

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Solution

The fourth proportional to 544.13, 816.20 and 133.26 is: 199.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.13 : 816.20 = 133.26 : x
  2. Step 2: Convert to fraction form
    544.13/816.20 = 133.26/x
  3. Step 3: Cross multiply
    544.13x = 816.20 × 133.26
  4. Step 4: Simplify right side
    544.13x = 108,766.15
  5. Step 5: Solve for x
    x = 108,766.15/544.13
  6. Step 6: Final answer
    x = 199.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.