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Finding the Fourth Proportional to 510.98, 765.79 and 186.04

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Solution

The fourth proportional to 510.98, 765.79 and 186.04 is: 278.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.98 : 765.79 = 186.04 : x
  2. Step 2: Convert to fraction form
    510.98/765.79 = 186.04/x
  3. Step 3: Cross multiply
    510.98x = 765.79 × 186.04
  4. Step 4: Simplify right side
    510.98x = 142,467.57
  5. Step 5: Solve for x
    x = 142,467.57/510.98
  6. Step 6: Final answer
    x = 278.81

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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.