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Finding the Fourth Proportional to 510.14, 765.25 and 185.54

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Solution

The fourth proportional to 510.14, 765.25 and 185.54 is: 278.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.14 : 765.25 = 185.54 : x
  2. Step 2: Convert to fraction form
    510.14/765.25 = 185.54/x
  3. Step 3: Cross multiply
    510.14x = 765.25 × 185.54
  4. Step 4: Simplify right side
    510.14x = 141,980.19
  5. Step 5: Solve for x
    x = 141,980.19/510.14
  6. Step 6: Final answer
    x = 278.31

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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.