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Finding the Fourth Proportional to 510.38, 765.87 and 185.77

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Solution

The fourth proportional to 510.38, 765.87 and 185.77 is: 278.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.38 : 765.87 = 185.77 : x
  2. Step 2: Convert to fraction form
    510.38/765.87 = 185.77/x
  3. Step 3: Cross multiply
    510.38x = 765.87 × 185.77
  4. Step 4: Simplify right side
    510.38x = 142,273.76
  5. Step 5: Solve for x
    x = 142,273.76/510.38
  6. Step 6: Final answer
    x = 278.76

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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.