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Finding the Fourth Proportional to 382.99, 574.31 and 151.70

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Solution

The fourth proportional to 382.99, 574.31 and 151.70 is: 227.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.99 : 574.31 = 151.70 : x
  2. Step 2: Convert to fraction form
    382.99/574.31 = 151.70/x
  3. Step 3: Cross multiply
    382.99x = 574.31 × 151.70
  4. Step 4: Simplify right side
    382.99x = 87,122.83
  5. Step 5: Solve for x
    x = 87,122.83/382.99
  6. Step 6: Final answer
    x = 227.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.