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Finding the Fourth Proportional to 382.95, 574.42 and 139.37

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Solution

The fourth proportional to 382.95, 574.42 and 139.37 is: 209.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.95 : 574.42 = 139.37 : x
  2. Step 2: Convert to fraction form
    382.95/574.42 = 139.37/x
  3. Step 3: Cross multiply
    382.95x = 574.42 × 139.37
  4. Step 4: Simplify right side
    382.95x = 80,056.22
  5. Step 5: Solve for x
    x = 80,056.22/382.95
  6. Step 6: Final answer
    x = 209.05

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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.