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Finding the Fourth Proportional to 510.21, 765.39 and 185.55

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Solution

The fourth proportional to 510.21, 765.39 and 185.55 is: 278.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.21 : 765.39 = 185.55 : x
  2. Step 2: Convert to fraction form
    510.21/765.39 = 185.55/x
  3. Step 3: Cross multiply
    510.21x = 765.39 × 185.55
  4. Step 4: Simplify right side
    510.21x = 142,018.11
  5. Step 5: Solve for x
    x = 142,018.11/510.21
  6. Step 6: Final answer
    x = 278.35

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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.