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Finding the Fourth Proportional to 510.15, 765.23 and 185.45

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Solution

The fourth proportional to 510.15, 765.23 and 185.45 is: 278.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.15 : 765.23 = 185.45 : x
  2. Step 2: Convert to fraction form
    510.15/765.23 = 185.45/x
  3. Step 3: Cross multiply
    510.15x = 765.23 × 185.45
  4. Step 4: Simplify right side
    510.15x = 141,912.89
  5. Step 5: Solve for x
    x = 141,912.89/510.15
  6. Step 6: Final answer
    x = 278.18

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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.