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Finding the Fourth Proportional to 510.22, 765.05 and 163.48

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Solution

The fourth proportional to 510.22, 765.05 and 163.48 is: 245.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.22 : 765.05 = 163.48 : x
  2. Step 2: Convert to fraction form
    510.22/765.05 = 163.48/x
  3. Step 3: Cross multiply
    510.22x = 765.05 × 163.48
  4. Step 4: Simplify right side
    510.22x = 125,070.37
  5. Step 5: Solve for x
    x = 125,070.37/510.22
  6. Step 6: Final answer
    x = 245.13

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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.