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Finding the Fourth Proportional to 382.65, 574.07 and 135.83

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Solution

The fourth proportional to 382.65, 574.07 and 135.83 is: 203.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.65 : 574.07 = 135.83 : x
  2. Step 2: Convert to fraction form
    382.65/574.07 = 135.83/x
  3. Step 3: Cross multiply
    382.65x = 574.07 × 135.83
  4. Step 4: Simplify right side
    382.65x = 77,975.93
  5. Step 5: Solve for x
    x = 77,975.93/382.65
  6. Step 6: Final answer
    x = 203.78

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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.