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Finding the Fourth Proportional to 382, 573 and 138.52

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Solution

The fourth proportional to 382, 573 and 138.52 is: 207.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    382 : 573 = 138.52 : x
  2. Step 2: Convert to fraction form
    382/573 = 138.52/x
  3. Step 3: Cross multiply
    382x = 573 × 138.52
  4. Step 4: Simplify right side
    382x = 79,371.96
  5. Step 5: Solve for x
    x = 79,371.96/382
  6. Step 6: Final answer
    x = 207.78

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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.