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Finding the Fourth Proportional to 510.26, 765.37 and 163.61

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Solution

The fourth proportional to 510.26, 765.37 and 163.61 is: 245.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.26 : 765.37 = 163.61 : x
  2. Step 2: Convert to fraction form
    510.26/765.37 = 163.61/x
  3. Step 3: Cross multiply
    510.26x = 765.37 × 163.61
  4. Step 4: Simplify right side
    510.26x = 125,221.37
  5. Step 5: Solve for x
    x = 125,221.37/510.26
  6. Step 6: Final answer
    x = 245.41

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1.5x scale

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.