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Finding the Fourth Proportional to 510.50, 766.06 and 185.89

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Solution

The fourth proportional to 510.50, 766.06 and 185.89 is: 278.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.50 : 766.06 = 185.89 : x
  2. Step 2: Convert to fraction form
    510.50/766.06 = 185.89/x
  3. Step 3: Cross multiply
    510.50x = 766.06 × 185.89
  4. Step 4: Simplify right side
    510.50x = 142,402.89
  5. Step 5: Solve for x
    x = 142,402.89/510.50
  6. Step 6: Final answer
    x = 278.95

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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.