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Finding the Fourth Proportional to 510.80, 765.74 and 185.94

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Solution

The fourth proportional to 510.80, 765.74 and 185.94 is: 278.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.80 : 765.74 = 185.94 : x
  2. Step 2: Convert to fraction form
    510.80/765.74 = 185.94/x
  3. Step 3: Cross multiply
    510.80x = 765.74 × 185.94
  4. Step 4: Simplify right side
    510.80x = 142,381.70
  5. Step 5: Solve for x
    x = 142,381.70/510.80
  6. Step 6: Final answer
    x = 278.74

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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.