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Finding the Fourth Proportional to 510.05, 765.35 and 185.51

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Solution

The fourth proportional to 510.05, 765.35 and 185.51 is: 278.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.05 : 765.35 = 185.51 : x
  2. Step 2: Convert to fraction form
    510.05/765.35 = 185.51/x
  3. Step 3: Cross multiply
    510.05x = 765.35 × 185.51
  4. Step 4: Simplify right side
    510.05x = 141,975.32
  5. Step 5: Solve for x
    x = 141,975.32/510.05
  6. Step 6: Final answer
    x = 278.36

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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.