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Finding the Fourth Proportional to 510.10, 764.94 and 185.29

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Solution

The fourth proportional to 510.10, 764.94 and 185.29 is: 277.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.10 : 764.94 = 185.29 : x
  2. Step 2: Convert to fraction form
    510.10/764.94 = 185.29/x
  3. Step 3: Cross multiply
    510.10x = 764.94 × 185.29
  4. Step 4: Simplify right side
    510.10x = 141,735.73
  5. Step 5: Solve for x
    x = 141,735.73/510.10
  6. Step 6: Final answer
    x = 277.86

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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.