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Finding the Fourth Proportional to 382.65, 573.95 and 139.21

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Solution

The fourth proportional to 382.65, 573.95 and 139.21 is: 208.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.65 : 573.95 = 139.21 : x
  2. Step 2: Convert to fraction form
    382.65/573.95 = 139.21/x
  3. Step 3: Cross multiply
    382.65x = 573.95 × 139.21
  4. Step 4: Simplify right side
    382.65x = 79,898.88
  5. Step 5: Solve for x
    x = 79,898.88/382.65
  6. Step 6: Final answer
    x = 208.81

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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.