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Finding the Fourth Proportional to 510.14, 765.31 and 163.45

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Solution

The fourth proportional to 510.14, 765.31 and 163.45 is: 245.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.14 : 765.31 = 163.45 : x
  2. Step 2: Convert to fraction form
    510.14/765.31 = 163.45/x
  3. Step 3: Cross multiply
    510.14x = 765.31 × 163.45
  4. Step 4: Simplify right side
    510.14x = 125,086.45
  5. Step 5: Solve for x
    x = 125,086.45/510.14
  6. Step 6: Final answer
    x = 245.20

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Double scale
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Similar ratio
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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.