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Finding the Fourth Proportional to 510.56, 765.93 and 163.98

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Solution

The fourth proportional to 510.56, 765.93 and 163.98 is: 245.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.56 : 765.93 = 163.98 : x
  2. Step 2: Convert to fraction form
    510.56/765.93 = 163.98/x
  3. Step 3: Cross multiply
    510.56x = 765.93 × 163.98
  4. Step 4: Simplify right side
    510.56x = 125,592.55
  5. Step 5: Solve for x
    x = 125,592.55/510.56
  6. Step 6: Final answer
    x = 245.99

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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.