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Finding the Fourth Proportional to 510.61, 765.46 and 185.75

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Solution

The fourth proportional to 510.61, 765.46 and 185.75 is: 278.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.61 : 765.46 = 185.75 : x
  2. Step 2: Convert to fraction form
    510.61/765.46 = 185.75/x
  3. Step 3: Cross multiply
    510.61x = 765.46 × 185.75
  4. Step 4: Simplify right side
    510.61x = 142,184.20
  5. Step 5: Solve for x
    x = 142,184.20/510.61
  6. Step 6: Final answer
    x = 278.46

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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.