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Finding the Fourth Proportional to 382.12, 573.06 and 138.59

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Solution

The fourth proportional to 382.12, 573.06 and 138.59 is: 207.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.12 : 573.06 = 138.59 : x
  2. Step 2: Convert to fraction form
    382.12/573.06 = 138.59/x
  3. Step 3: Cross multiply
    382.12x = 573.06 × 138.59
  4. Step 4: Simplify right side
    382.12x = 79,418.38
  5. Step 5: Solve for x
    x = 79,418.38/382.12
  6. Step 6: Final answer
    x = 207.84

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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.