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Finding the Fourth Proportional to 510.07, 765.40 and 185.46

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Solution

The fourth proportional to 510.07, 765.40 and 185.46 is: 278.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.07 : 765.40 = 185.46 : x
  2. Step 2: Convert to fraction form
    510.07/765.40 = 185.46/x
  3. Step 3: Cross multiply
    510.07x = 765.40 × 185.46
  4. Step 4: Simplify right side
    510.07x = 141,949.17
  5. Step 5: Solve for x
    x = 141,949.17/510.07
  6. Step 6: Final answer
    x = 278.30

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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.