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Finding the Fourth Proportional to 382.25, 573.45 and 138.79

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Solution

The fourth proportional to 382.25, 573.45 and 138.79 is: 208.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.25 : 573.45 = 138.79 : x
  2. Step 2: Convert to fraction form
    382.25/573.45 = 138.79/x
  3. Step 3: Cross multiply
    382.25x = 573.45 × 138.79
  4. Step 4: Simplify right side
    382.25x = 79,586.26
  5. Step 5: Solve for x
    x = 79,586.26/382.25
  6. Step 6: Final answer
    x = 208.20

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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.