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Finding the Fourth Proportional to 515.23, 772.23 and 190.22

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Solution

The fourth proportional to 515.23, 772.23 and 190.22 is: 285.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.23 : 772.23 = 190.22 : x
  2. Step 2: Convert to fraction form
    515.23/772.23 = 190.22/x
  3. Step 3: Cross multiply
    515.23x = 772.23 × 190.22
  4. Step 4: Simplify right side
    515.23x = 146,890.44
  5. Step 5: Solve for x
    x = 146,890.44/515.23
  6. Step 6: Final answer
    x = 285.10

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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.