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Finding the Fourth Proportional to 510.32, 765.53 and 185.68

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Solution

The fourth proportional to 510.32, 765.53 and 185.68 is: 278.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.32 : 765.53 = 185.68 : x
  2. Step 2: Convert to fraction form
    510.32/765.53 = 185.68/x
  3. Step 3: Cross multiply
    510.32x = 765.53 × 185.68
  4. Step 4: Simplify right side
    510.32x = 142,143.61
  5. Step 5: Solve for x
    x = 142,143.61/510.32
  6. Step 6: Final answer
    x = 278.54

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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.