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Finding the Fourth Proportional to 510.24, 765.42 and 163.59

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Solution

The fourth proportional to 510.24, 765.42 and 163.59 is: 245.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.24 : 765.42 = 163.59 : x
  2. Step 2: Convert to fraction form
    510.24/765.42 = 163.59/x
  3. Step 3: Cross multiply
    510.24x = 765.42 × 163.59
  4. Step 4: Simplify right side
    510.24x = 125,215.06
  5. Step 5: Solve for x
    x = 125,215.06/510.24
  6. Step 6: Final answer
    x = 245.40

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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.