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Finding the Fourth Proportional to 382.86, 574.50 and 190.50

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Solution

The fourth proportional to 382.86, 574.50 and 190.50 is: 285.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.86 : 574.50 = 190.50 : x
  2. Step 2: Convert to fraction form
    382.86/574.50 = 190.50/x
  3. Step 3: Cross multiply
    382.86x = 574.50 × 190.50
  4. Step 4: Simplify right side
    382.86x = 109,442.25
  5. Step 5: Solve for x
    x = 109,442.25/382.86
  6. Step 6: Final answer
    x = 285.85

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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.