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Finding the Fourth Proportional to 382.14, 573.08 and 138.60

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Solution

The fourth proportional to 382.14, 573.08 and 138.60 is: 207.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.14 : 573.08 = 138.60 : x
  2. Step 2: Convert to fraction form
    382.14/573.08 = 138.60/x
  3. Step 3: Cross multiply
    382.14x = 573.08 × 138.60
  4. Step 4: Simplify right side
    382.14x = 79,428.20
  5. Step 5: Solve for x
    x = 79,428.20/382.14
  6. Step 6: Final answer
    x = 207.85

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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.