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Finding the Fourth Proportional to 510.86, 765.81 and 186.15

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Solution

The fourth proportional to 510.86, 765.81 and 186.15 is: 279.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.86 : 765.81 = 186.15 : x
  2. Step 2: Convert to fraction form
    510.86/765.81 = 186.15/x
  3. Step 3: Cross multiply
    510.86x = 765.81 × 186.15
  4. Step 4: Simplify right side
    510.86x = 142,555.53
  5. Step 5: Solve for x
    x = 142,555.53/510.86
  6. Step 6: Final answer
    x = 279.05

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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.