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Finding the Fourth Proportional to 510.27, 765.37 and 185.71

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Solution

The fourth proportional to 510.27, 765.37 and 185.71 is: 278.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.27 : 765.37 = 185.71 : x
  2. Step 2: Convert to fraction form
    510.27/765.37 = 185.71/x
  3. Step 3: Cross multiply
    510.27x = 765.37 × 185.71
  4. Step 4: Simplify right side
    510.27x = 142,135.93
  5. Step 5: Solve for x
    x = 142,135.93/510.27
  6. Step 6: Final answer
    x = 278.55

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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.