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Finding the Fourth Proportional to 510.04, 765.11 and 185.41

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Solution

The fourth proportional to 510.04, 765.11 and 185.41 is: 278.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.04 : 765.11 = 185.41 : x
  2. Step 2: Convert to fraction form
    510.04/765.11 = 185.41/x
  3. Step 3: Cross multiply
    510.04x = 765.11 × 185.41
  4. Step 4: Simplify right side
    510.04x = 141,859.05
  5. Step 5: Solve for x
    x = 141,859.05/510.04
  6. Step 6: Final answer
    x = 278.13

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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.