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Finding the Fourth Proportional to 510, 765.06 and 163.36

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Solution

The fourth proportional to 510, 765.06 and 163.36 is: 245.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    510 : 765.06 = 163.36 : x
  2. Step 2: Convert to fraction form
    510/765.06 = 163.36/x
  3. Step 3: Cross multiply
    510x = 765.06 × 163.36
  4. Step 4: Simplify right side
    510x = 124,980.20
  5. Step 5: Solve for x
    x = 124,980.20/510
  6. Step 6: Final answer
    x = 245.06

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Why These Related Problems?

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