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Finding the Fourth Proportional to 510.44, 765.62 and 163.82

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Solution

The fourth proportional to 510.44, 765.62 and 163.82 is: 245.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.44 : 765.62 = 163.82 : x
  2. Step 2: Convert to fraction form
    510.44/765.62 = 163.82/x
  3. Step 3: Cross multiply
    510.44x = 765.62 × 163.82
  4. Step 4: Simplify right side
    510.44x = 125,420.04
  5. Step 5: Solve for x
    x = 125,420.04/510.44
  6. Step 6: Final answer
    x = 245.71

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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.