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Finding the Fourth Proportional to 382.51, 573.48 and 190.27

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Solution

The fourth proportional to 382.51, 573.48 and 190.27 is: 285.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.51 : 573.48 = 190.27 : x
  2. Step 2: Convert to fraction form
    382.51/573.48 = 190.27/x
  3. Step 3: Cross multiply
    382.51x = 573.48 × 190.27
  4. Step 4: Simplify right side
    382.51x = 109,116.04
  5. Step 5: Solve for x
    x = 109,116.04/382.51
  6. Step 6: Final answer
    x = 285.26

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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.