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Finding the Fourth Proportional to 382.87, 574.38 and 177.45

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Solution

The fourth proportional to 382.87, 574.38 and 177.45 is: 266.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.87 : 574.38 = 177.45 : x
  2. Step 2: Convert to fraction form
    382.87/574.38 = 177.45/x
  3. Step 3: Cross multiply
    382.87x = 574.38 × 177.45
  4. Step 4: Simplify right side
    382.87x = 101,923.73
  5. Step 5: Solve for x
    x = 101,923.73/382.87
  6. Step 6: Final answer
    x = 266.21

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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.