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Finding the Fourth Proportional to 544.38, 816.57 and 133.51

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Solution

The fourth proportional to 544.38, 816.57 and 133.51 is: 200.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.38 : 816.57 = 133.51 : x
  2. Step 2: Convert to fraction form
    544.38/816.57 = 133.51/x
  3. Step 3: Cross multiply
    544.38x = 816.57 × 133.51
  4. Step 4: Simplify right side
    544.38x = 109,020.26
  5. Step 5: Solve for x
    x = 109,020.26/544.38
  6. Step 6: Final answer
    x = 200.27

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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.