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Finding the Fourth Proportional to 510.91, 766.06 and 185.90

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Solution

The fourth proportional to 510.91, 766.06 and 185.90 is: 278.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.91 : 766.06 = 185.90 : x
  2. Step 2: Convert to fraction form
    510.91/766.06 = 185.90/x
  3. Step 3: Cross multiply
    510.91x = 766.06 × 185.90
  4. Step 4: Simplify right side
    510.91x = 142,406.26
  5. Step 5: Solve for x
    x = 142,406.26/510.91
  6. Step 6: Final answer
    x = 278.73

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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.